Pith Number

pith:5KVKI3JB

pith:2023:5KVKI3JB5A2TMTMUH46XB2PISY

not attested not anchored not stored refs pending

An introduction to graph theory

Darij Grinberg

arxiv:2308.04512 v3 · 2023-08-02 · math.HO · 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{5KVKI3JB5A2TMTMUH46XB2PISY}

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.

Cited by

1 paper in Pith

An equality for balanced digraphs

Receipt and verification

First computed	2026-07-05T11:17:30.863676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eaaaa46d21e835364d943f3d70e9e89615ffd64b873dd47551ab49c433da4bf1

Aliases

arxiv: 2308.04512 · arxiv_version: 2308.04512v3 · doi: 10.48550/arxiv.2308.04512 · pith_short_12: 5KVKI3JB5A2T · pith_short_16: 5KVKI3JB5A2TMTMU · pith_short_8: 5KVKI3JB

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/5KVKI3JB5A2TMTMUH46XB2PISY \
  | 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: eaaaa46d21e835364d943f3d70e9e89615ffd64b873dd47551ab49c433da4bf1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81af1d6d98de3ba72904e969cde99018b7be4410af5e02b0aac46a916bd1ca0f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2023-08-02T23:24:26Z",
    "title_canon_sha256": "e0efbbd8f8747739ef46fafb879437905164f6b3eba2da23813135062d35a37d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.04512",
    "kind": "arxiv",
    "version": 3
  }
}