Pith Number

pith:4XUJBF4E

pith:2016:4XUJBF4EVED4D7KVXR4NNFK6RY

not attested not anchored not stored refs pending

Hypergraphs with high projective dimension and 1-dimensional Hypergraphs

Kuei-Nuan Lin, Paolo Mantero

arxiv:1603.01331 v1 · 2016-03-04 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4XUJBF4EVED4D7KVXR4NNFK6RY}

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	2026-05-18T01:19:37.910194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5e8909784a907c1fd55bc78d6955e8e1deee5fb308ead094930d935eb3923f7

Aliases

arxiv: 1603.01331 · arxiv_version: 1603.01331v1 · doi: 10.48550/arxiv.1603.01331 · pith_short_12: 4XUJBF4EVED4 · pith_short_16: 4XUJBF4EVED4D7KV · pith_short_8: 4XUJBF4E

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/4XUJBF4EVED4D7KVXR4NNFK6RY \
  | 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: e5e8909784a907c1fd55bc78d6955e8e1deee5fb308ead094930d935eb3923f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c1e0ad0a6bc45dcd9af5cfd704e3f619c8be6bf5316c8c91c54f5c16d9b3253",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-03-04T02:07:50Z",
    "title_canon_sha256": "c4fb5efb57a9f2739832b9a4612c53a4c7cd4217d5fd2311695926cf4ac74832"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.01331",
    "kind": "arxiv",
    "version": 1
  }
}