Pith Number

pith:5FZGBCBJ

pith:2018:5FZGBCBJZRBQJZD3TXKB33K7HC

not attested not anchored not stored refs pending

The Minrank of Random Graphs over Arbitrary Fields

Adva Mond, Frank Mousset, Igor Balla, Lior Gishboliner, Noga Alon

arxiv:1809.01873 v2 · 2018-09-06 · math.CO · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5FZGBCBJZRBQJZD3TXKB33K7HC}

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	2026-05-17T23:55:28.995418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e972608829cc4304e47b9dd41ded5f3880e92d6b9e41d3e6baaa193e0ce5f4b4

Aliases

arxiv: 1809.01873 · arxiv_version: 1809.01873v2 · doi: 10.48550/arxiv.1809.01873 · pith_short_12: 5FZGBCBJZRBQ · pith_short_16: 5FZGBCBJZRBQJZD3 · pith_short_8: 5FZGBCBJ

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/5FZGBCBJZRBQJZD3TXKB33K7HC \
  | 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: e972608829cc4304e47b9dd41ded5f3880e92d6b9e41d3e6baaa193e0ce5f4b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1756c45e10f435261be324947f42440fb58e06b51e5ac9f236514930d17c476e",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-09-06T08:23:05Z",
    "title_canon_sha256": "0e3a078b7839aa25b76bbb3762aca17f336fd5d58378ecab0dad18815925c443"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.01873",
    "kind": "arxiv",
    "version": 2
  }
}