Pith Number

pith:WLSDVLFH

pith:2015:WLSDVLFHG6ZKWBJL427FJ3MNVX

not attested not anchored not stored refs pending

Extremal results for Berge-hypergraphs

Cory Palmer, D\'aniel Gerbner

arxiv:1505.08127 v1 · 2015-05-29 · 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{WLSDVLFHG6ZKWBJL427FJ3MNVX}

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	2026-05-18T01:59:59.610781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2e43aaca737b2ab052be6be54ed8dadd84c3d83b3b6a66101c1fc8133ee4271

Aliases

arxiv: 1505.08127 · arxiv_version: 1505.08127v1 · doi: 10.48550/arxiv.1505.08127 · pith_short_12: WLSDVLFHG6ZK · pith_short_16: WLSDVLFHG6ZKWBJL · pith_short_8: WLSDVLFH

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/WLSDVLFHG6ZKWBJL427FJ3MNVX \
  | 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: b2e43aaca737b2ab052be6be54ed8dadd84c3d83b3b6a66101c1fc8133ee4271

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2a9f27fd3c425d460f6cf2d6070342d3e8132ebe6b35c88890848dec7a8b906",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-05-29T18:02:08Z",
    "title_canon_sha256": "3b114f6bf2cf0c65a7fd2f518a22e238ff22c2d4e47476dce3501d53a0781dfd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.08127",
    "kind": "arxiv",
    "version": 1
  }
}