Pith Number

pith:YDGJWXIM

pith:2013:YDGJWXIMUWT4QPNVR4EOUP6XIH

not attested not anchored not stored refs pending

Graphs with $C_3_-free vertices are not universal fixers

Magdalena Lema\'nska, Monika Rosicka, Rita Zuazua

arxiv:1309.0603 v2 · 2013-09-03 · 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{YDGJWXIMUWT4QPNVR4EOUP6XIH}

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	2026-05-18T03:14:08.164064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0cc9b5d0ca5a7c83db58f08ea3fd741c9d2c726d931e7933a08dba2aa46e43f

Aliases

arxiv: 1309.0603 · arxiv_version: 1309.0603v2 · doi: 10.48550/arxiv.1309.0603 · pith_short_12: YDGJWXIMUWT4 · pith_short_16: YDGJWXIMUWT4QPNV · pith_short_8: YDGJWXIM

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/YDGJWXIMUWT4QPNVR4EOUP6XIH \
  | 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: c0cc9b5d0ca5a7c83db58f08ea3fd741c9d2c726d931e7933a08dba2aa46e43f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c2be49903a7913d6e4265f17212bf62111761a318e41cc5ce9827baaa4c9489",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-03T08:04:42Z",
    "title_canon_sha256": "8f6a30303a4032f8b7b9f02789ed56def53abb52ca09c831bb6b9b5e7b56f933"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0603",
    "kind": "arxiv",
    "version": 2
  }
}