Pith Number

pith:LE3FMJXF

pith:2017:LE3FMJXF3AQDSIDBUU5WU3IE6J

not attested not anchored not stored refs pending

2-associahedra

Nathaniel Bottman

arxiv:1709.00119 v2 · 2017-09-01 · math.SG · 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{LE3FMJXF3AQDSIDBUU5WU3IE6J}

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	2026-05-17T23:51:00.164933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59365626e5d820392061a53b6a6d04f25e6d063317a9eee96645e6f3228ad8e9

Aliases

arxiv: 1709.00119 · arxiv_version: 1709.00119v2 · doi: 10.48550/arxiv.1709.00119 · pith_short_12: LE3FMJXF3AQD · pith_short_16: LE3FMJXF3AQDSIDB · pith_short_8: LE3FMJXF

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/LE3FMJXF3AQDSIDBUU5WU3IE6J \
  | 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: 59365626e5d820392061a53b6a6d04f25e6d063317a9eee96645e6f3228ad8e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eec7553cba8614aa93012800fe123ed06869aec5fdb7c39eeea09f65f3f3dce1",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2017-09-01T00:49:08Z",
    "title_canon_sha256": "70b6ede7ef6b9a0800a56ca82d050a9db29789d371620f65c92f877c05a66495"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.00119",
    "kind": "arxiv",
    "version": 2
  }
}