Pith Number

pith:F6WPXXHU

pith:2012:F6WPXXHU6N6HFK55PVDJ34M2WZ

not attested not anchored not stored refs pending

On Lagrangians of r-uniform Hypergraphs

Cheng Zhao, Qingsong Tang, Yuejian Peng

arxiv:1212.2795 v1 · 2012-12-12 · 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{F6WPXXHU6N6HFK55PVDJ34M2WZ}

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	2026-05-18T03:38:35.358589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2facfbdcf4f37c72abbd7d469df19ab6500523254ea3a552ebe00cd026ca8d43

Aliases

arxiv: 1212.2795 · arxiv_version: 1212.2795v1 · doi: 10.48550/arxiv.1212.2795 · pith_short_12: F6WPXXHU6N6H · pith_short_16: F6WPXXHU6N6HFK55 · pith_short_8: F6WPXXHU

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/F6WPXXHU6N6HFK55PVDJ34M2WZ \
  | 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: 2facfbdcf4f37c72abbd7d469df19ab6500523254ea3a552ebe00cd026ca8d43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32b3bcd2936d9c10d3ab4025672e458b98282d193350dec7dad6c442b8531b1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-12T12:41:53Z",
    "title_canon_sha256": "58563001379afbc049ecbd9df20106d6f2a8720eaf75802e47c8eff82868219d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2795",
    "kind": "arxiv",
    "version": 1
  }
}