Pith Number

pith:XDRPJVE3

pith:2019:XDRPJVE3UP7N4FHIP6BN4JBEPL

not attested not anchored not stored refs pending

Dense graphs have rigid parts

J\'ozsef Solymosi, Orit E. Raz

arxiv:1901.10631 v1 · 2019-01-30 · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XDRPJVE3UP7N4FHIP6BN4JBEPL}

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	2026-05-17T23:55:06.437746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8e2f4d49ba3fede14e87f82de24247ac09c4bc2e3ceda69462bb7bd8285beb1

Aliases

arxiv: 1901.10631 · arxiv_version: 1901.10631v1 · doi: 10.48550/arxiv.1901.10631 · pith_short_12: XDRPJVE3UP7N · pith_short_16: XDRPJVE3UP7N4FHI · pith_short_8: XDRPJVE3

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/XDRPJVE3UP7N4FHIP6BN4JBEPL \
  | 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: b8e2f4d49ba3fede14e87f82de24247ac09c4bc2e3ceda69462bb7bd8285beb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b02ad0d6dce54ba6c8f861f0d966f775dc14f9892afeb998c1046e9c2c569230",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-01-30T01:22:44Z",
    "title_canon_sha256": "f86c23b7ff37f4f2089eff89a851096e9fcdcba42f3b8802c9204ee3987b11c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.10631",
    "kind": "arxiv",
    "version": 1
  }
}