Pith Number

pith:XTBDFTPP

pith:2016:XTBDFTPPZUT62RLDOABFCTFGOW

not attested not anchored not stored refs pending

$3$-uniform hypergraphs and linear cycles

Abhishek Methuku, Beka Ergemlidze, Ervin Gy\H{o}ri

arxiv:1609.03934 v2 · 2016-09-13 · 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{XTBDFTPPZUT62RLDOABFCTFGOW}

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	2026-05-18T00:35:51.746307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcc232cdefcd27ed45637002514ca675bdbd415374aae96da2c97a82194f18f2

Aliases

arxiv: 1609.03934 · arxiv_version: 1609.03934v2 · doi: 10.48550/arxiv.1609.03934 · pith_short_12: XTBDFTPPZUT6 · pith_short_16: XTBDFTPPZUT62RLD · pith_short_8: XTBDFTPP

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/XTBDFTPPZUT62RLDOABFCTFGOW \
  | 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: bcc232cdefcd27ed45637002514ca675bdbd415374aae96da2c97a82194f18f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea90d046d4897e536976af946a1f6c095c8f1387a45b50e7716a1374ec87002b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-13T16:55:47Z",
    "title_canon_sha256": "9801b0f11ae7f17426fa7b73f08f0d211044c50c2f3c2044375ad0b4ccfb885a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03934",
    "kind": "arxiv",
    "version": 2
  }
}