Pith Number

pith:Y57OZFKU

pith:2019:Y57OZFKUZTVAL5A74SI6A4IW7Q

not attested not anchored not stored refs pending

On the weight of Berge-$F$-free hypergraphs

Abhishek Methuku, Cory Palmer, D\'aniel Gerbner, Sean English

arxiv:1902.03398 v2 · 2019-02-09 · 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{Y57OZFKUZTVAL5A74SI6A4IW7Q}

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	2026-05-17T23:51:21.138637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c77eec9554ccea05f41fe491e07116fc35e1a812d1520d1eeafd91b0baa85ebc

Aliases

arxiv: 1902.03398 · arxiv_version: 1902.03398v2 · doi: 10.48550/arxiv.1902.03398 · pith_short_12: Y57OZFKUZTVA · pith_short_16: Y57OZFKUZTVAL5A7 · pith_short_8: Y57OZFKU

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/Y57OZFKUZTVAL5A74SI6A4IW7Q \
  | 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: c77eec9554ccea05f41fe491e07116fc35e1a812d1520d1eeafd91b0baa85ebc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "247cfcb780fdeffc09bbfb2f74f84557e9466d3d4670a6d19850cb804ea42420",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-02-09T10:10:36Z",
    "title_canon_sha256": "0444d4a5ba0ba06cb59a39cf898fd25219b53d3a3169561188ebebf60090b39f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.03398",
    "kind": "arxiv",
    "version": 2
  }
}