Pith Number

pith:T4UUXIWX

pith:2014:T4UUXIWXC2WZGMBZ7NMWC4S4CT

not attested not anchored not stored refs pending

Strong Jumps and Lagrangians of Non-Uniform Hypergraphs

Linyuan Lu, Travis Johnston

arxiv:1403.1220 v1 · 2014-03-05 · 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{T4UUXIWXC2WZGMBZ7NMWC4S4CT}

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	2026-05-18T02:57:00.388496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f294ba2d716ad933039fb5961725c14e1d2b6f0dbce55c2438f72d13bd23ac9

Aliases

arxiv: 1403.1220 · arxiv_version: 1403.1220v1 · doi: 10.48550/arxiv.1403.1220 · pith_short_12: T4UUXIWXC2WZ · pith_short_16: T4UUXIWXC2WZGMBZ · pith_short_8: T4UUXIWX

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/T4UUXIWXC2WZGMBZ7NMWC4S4CT \
  | 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: 9f294ba2d716ad933039fb5961725c14e1d2b6f0dbce55c2438f72d13bd23ac9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "052d9ff39b2cd418b9abcc26a89fd53705e276cad82b4f515e5e8888c0959401",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-03-05T18:42:46Z",
    "title_canon_sha256": "22b97b161b929ae8aa5397d515a1fbbd0450925f16b38574fa3b4f5ac009bbbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.1220",
    "kind": "arxiv",
    "version": 1
  }
}