Pith Number

pith:7PV2UXJ2

pith:2018:7PV2UXJ27ZULWDVPNCFHPDFMLA

not attested not anchored not stored refs pending

Who witnesses The Witness? Finding witnesses in The Witness is hard and sometimes impossible

(2) MIT CSAIL, (3) MIT Mathematics Department, (4) Department of Mathematics, Adam Hesterberg (3), Clemens Thielen (4) ((1) MIT EECS Department, Erik D. Demaine (2), Jayson Lynch (2), Jeffrey Bosboom (2), Justin Kopinsky (2), Linus Hamilton (3), Michael Coulombe (2), Mikhail Rudoy (2), University of Kaiserslautern), Zachary Abel (1)

arxiv:1804.10193 v4 · 2018-04-26 · cs.CC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7PV2UXJ27ZULWDVPNCFHPDFMLA}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-17T23:54:25.115307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbebaa5d3afe68bb0eaf688a778cac58213893510c45be3682ad49b6bc74cbc4

Aliases

arxiv: 1804.10193 · arxiv_version: 1804.10193v4 · doi: 10.48550/arxiv.1804.10193 · pith_short_12: 7PV2UXJ27ZUL · pith_short_16: 7PV2UXJ27ZULWDVP · pith_short_8: 7PV2UXJ2

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/7PV2UXJ27ZULWDVPNCFHPDFMLA \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: fbebaa5d3afe68bb0eaf688a778cac58213893510c45be3682ad49b6bc74cbc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "292b7ab74fac1d191a4af097ac9a8e30a4b28a7879c8500ecb56f0cfece9885d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2018-04-26T17:42:46Z",
    "title_canon_sha256": "e7b255ea1480e82a2a98b25403f089cd4b84f9a04f71efdf6b5e3381e7d431cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.10193",
    "kind": "arxiv",
    "version": 4
  }
}