Pith Number

pith:ODJLL4ED

pith:2016:ODJLL4EDI4VN6CNMI5QRWUR5JD

not attested not anchored not stored refs pending

Rewriting modulo symmetric monoidal structure

Aleks Kissinger, Fabio Gadducci, Fabio Zanasi, Filippo Bonchi, Pawel Sobocinski

arxiv:1602.06771 v2 · 2016-02-22 · math.CT · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ODJLL4EDI4VN6CNMI5QRWUR5JD}

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	2026-05-18T00:56:12.264914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70d2b5f083472adf09ac47611b523d48d7bcd966faf57eafa23e9a8e9fe01221

Aliases

arxiv: 1602.06771 · arxiv_version: 1602.06771v2 · doi: 10.48550/arxiv.1602.06771 · pith_short_12: ODJLL4EDI4VN · pith_short_16: ODJLL4EDI4VN6CNM · pith_short_8: ODJLL4ED

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/ODJLL4EDI4VN6CNMI5QRWUR5JD \
  | 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: 70d2b5f083472adf09ac47611b523d48d7bcd966faf57eafa23e9a8e9fe01221

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d117323057020af5ba4c25d9a1e1317e5a50eac160c996491247bee4e9b1813d",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2016-02-22T13:43:35Z",
    "title_canon_sha256": "6f6a5c940007309a0eaefb43c32dd5d97db5c7b383ccae6504d06b001554db17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.06771",
    "kind": "arxiv",
    "version": 2
  }
}