Pith Number

pith:CIQFS75W

pith:2017:CIQFS75WUBNC5EE5D4O7Z6E3LX

not attested not anchored not stored refs pending

Lattice exit models

S. Gill Williamson

arxiv:1705.06838 v2 · 2017-05-19 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CIQFS75WUBNC5EE5D4O7Z6E3LX}

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	2026-05-18T00:36:38.485437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1220597fb6a05a2e909d1f1dfcf89b5dc34f0baaec14261dde72481349944d8d

Aliases

arxiv: 1705.06838 · arxiv_version: 1705.06838v2 · doi: 10.48550/arxiv.1705.06838 · pith_short_12: CIQFS75WUBNC · pith_short_16: CIQFS75WUBNC5EE5 · pith_short_8: CIQFS75W

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/CIQFS75WUBNC5EE5D4O7Z6E3LX \
  | 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: 1220597fb6a05a2e909d1f1dfcf89b5dc34f0baaec14261dde72481349944d8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f273a11fd730a5585febd485bfd3df5860f8da01c93dae81f996ef3ddf584b24",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-19T00:33:31Z",
    "title_canon_sha256": "2373bb022de71ce6bfb2254e992ffd39989b67a97fb0e9c1510b2da2b21fe6fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.06838",
    "kind": "arxiv",
    "version": 2
  }
}