Pith Number

pith:YOHRHXO5

pith:2013:YOHRHXO5447CM4FVADVJM7OPXN

not attested not anchored not stored refs pending

On the codegree density of complete 3-graphs and related problems

Victor Falgas-Ravry

arxiv:1307.3395 v1 · 2013-07-12 · 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{YOHRHXO5447CM4FVADVJM7OPXN}

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	2026-05-18T03:18:39.249376Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c38f13dddde73e2670b500ea967dcfbb7df891cac45ad7f92c1d375517b8320e

Aliases

arxiv: 1307.3395 · arxiv_version: 1307.3395v1 · doi: 10.48550/arxiv.1307.3395 · pith_short_12: YOHRHXO5447C · pith_short_16: YOHRHXO5447CM4FV · pith_short_8: YOHRHXO5

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/YOHRHXO5447CM4FVADVJM7OPXN \
  | 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: c38f13dddde73e2670b500ea967dcfbb7df891cac45ad7f92c1d375517b8320e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a67af311649cec89cb0c82ab6a9585479bef99dfafb05a0bb1983d9a3abd6df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-07-12T10:24:42Z",
    "title_canon_sha256": "4b07e2d508605ce57ab9d21b295f519e194dde82d6f99d2d089a0b4a87735ab4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3395",
    "kind": "arxiv",
    "version": 1
  }
}