Pith Number

pith:S77XHZPS

pith:2018:S77XHZPSO4GHWOHN6YWHXU3LF7

not attested not anchored not stored refs pending

Goldberg's Conjecture is true for random multigraphs

Gal Kronenberg, Michael Krivelevich, Penny Haxell

arxiv:1803.00908 v2 · 2018-03-02 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S77XHZPSO4GHWOHN6YWHXU3LF7}

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	2026-05-17T23:54:41.570172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97ff73e5f2770c7b38edf62c7bd36b2fe53f932361557c0b99b97e1a4b507a95

Aliases

arxiv: 1803.00908 · arxiv_version: 1803.00908v2 · doi: 10.48550/arxiv.1803.00908 · pith_short_12: S77XHZPSO4GH · pith_short_16: S77XHZPSO4GHWOHN · pith_short_8: S77XHZPS

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/S77XHZPSO4GHWOHN6YWHXU3LF7 \
  | 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: 97ff73e5f2770c7b38edf62c7bd36b2fe53f932361557c0b99b97e1a4b507a95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a577b1e948b6b77f3f434ffba585dc327519467ef37b854fc85c9857ac1408fb",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-03-02T15:48:15Z",
    "title_canon_sha256": "1ec1f3e657d468e7b344200ef71c22a5582acdf9dec8b1f62b99341ac2b3fe55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.00908",
    "kind": "arxiv",
    "version": 2
  }
}