Pith Number

pith:IM556UDM

pith:2004:IM556UDMI3BTID4HV2PUVWGHT7

not attested not anchored not stored refs pending

A Tur\'{a}n Type Problem Concerning the Powers of the Degrees of a Graph (revised)

R. Yuster, Y. Caro

arxiv:math/0401398 v1 · 2004-01-28 · 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{IM556UDMI3BTID4HV2PUVWGHT7}

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.

Cited by

1 paper in Pith

On cliques in hypergraphs under bounded $(j,p)$-norm

Receipt and verification

First computed	2026-07-04T14:38:11.801415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

433bdf506c46c3340f87ae9f4ad8c79ff3bface9d6d1827b1618bdbf74cbcb4d

Aliases

arxiv: math/0401398 · arxiv_version: math/0401398v1 · doi: 10.48550/arxiv.math/0401398 · pith_short_12: IM556UDMI3BT · pith_short_16: IM556UDMI3BTID4H · pith_short_8: IM556UDM

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/IM556UDMI3BTID4HV2PUVWGHT7 \
  | 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: 433bdf506c46c3340f87ae9f4ad8c79ff3bface9d6d1827b1618bdbf74cbcb4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0512ed93a61df8b9808c62f0506bd0caa630cdedb607ed744ad6c68b3b0e949",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2004-01-28T16:15:25Z",
    "title_canon_sha256": "b0d4446d7c3d9a74cd12032a87fc589000de5e839cc57b9c490a6c569e4e6f60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0401398",
    "kind": "arxiv",
    "version": 1
  }
}