Pith Number

pith:OM5OUOGZ

pith:2017:OM5OUOGZGDPT64VDVSGYZYNFPX

not attested not anchored not stored refs pending

Planar graphs and Stanley's Chromatic Functions

Alexander Paunov

arxiv:1702.05787 v1 · 2017-02-19 · 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{OM5OUOGZGDPT64VDVSGYZYNFPX}

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	2026-05-18T00:48:29.250573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

733aea38d930df3f72a3ac8d8ce1a57dd919dda01692a78b704ba9dc887c8ea8

Aliases

arxiv: 1702.05787 · arxiv_version: 1702.05787v1 · doi: 10.48550/arxiv.1702.05787 · pith_short_12: OM5OUOGZGDPT · pith_short_16: OM5OUOGZGDPT64VD · pith_short_8: OM5OUOGZ

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/OM5OUOGZGDPT64VDVSGYZYNFPX \
  | 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: 733aea38d930df3f72a3ac8d8ce1a57dd919dda01692a78b704ba9dc887c8ea8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bc1296c6be0e6d8012416dab0e4d0a943b94ba0d078a4aff533ff7b3e208870",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-02-19T19:34:34Z",
    "title_canon_sha256": "3c65bb0d8fb43b5f1bad5ab69e33609a48510477c482ffe587afe8821ed91ce1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.05787",
    "kind": "arxiv",
    "version": 1
  }
}