Pith Number

pith:AKPUKRXP

pith:2015:AKPUKRXP6ICT7HSSCOQ5QYFFKZ

not attested not anchored not stored refs pending

On connected simple graphs and their degree sequences

Jonathan McLaughlin

arxiv:1512.01377 v2 · 2015-12-04 · 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{AKPUKRXP6ICT7HSSCOQ5QYFFKZ}

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	2026-05-18T01:24:09.199447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

029f4546eff2053f9e5213a1d860a5565c4e2f77355a1bbb2a5d629d87430b5a

Aliases

arxiv: 1512.01377 · arxiv_version: 1512.01377v2 · doi: 10.48550/arxiv.1512.01377 · pith_short_12: AKPUKRXP6ICT · pith_short_16: AKPUKRXP6ICT7HSS · pith_short_8: AKPUKRXP

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/AKPUKRXP6ICT7HSSCOQ5QYFFKZ \
  | 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: 029f4546eff2053f9e5213a1d860a5565c4e2f77355a1bbb2a5d629d87430b5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1734e46db3028f38310517adac9fdb3f97f1e61aa96fa1649751546e0216aa85",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-04T11:44:03Z",
    "title_canon_sha256": "c1f63df560be42371a2cbc445abdf07554c2e96c363dc6b7e7dc720bee6e23e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01377",
    "kind": "arxiv",
    "version": 2
  }
}