Pith Number

pith:F7CXBOW7

pith:2014:F7CXBOW7H57NB244PIDYICMLFA

not attested not anchored not stored refs pending

Turan Problems and Shadows II: Trees

Alexandr Kostochka, Dhruv Mubayi, Jacques Verstraete

arxiv:1402.0544 v1 · 2014-02-03 · 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{F7CXBOW7H57NB244PIDYICMLFA}

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	2026-05-18T03:00:14.039138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fc570badf3f7ed0eb9c7a0784098b28238e73c17b205975fa3d1d4e59a3d829

Aliases

arxiv: 1402.0544 · arxiv_version: 1402.0544v1 · doi: 10.48550/arxiv.1402.0544 · pith_short_12: F7CXBOW7H57N · pith_short_16: F7CXBOW7H57NB244 · pith_short_8: F7CXBOW7

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/F7CXBOW7H57NB244PIDYICMLFA \
  | 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: 2fc570badf3f7ed0eb9c7a0784098b28238e73c17b205975fa3d1d4e59a3d829

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "185a2be499372956d4a000e992279e932ad3dab4ec191746e3821a171e8cbab3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-02-03T23:15:54Z",
    "title_canon_sha256": "d4835396c0a5f6e013023d41b82bc94cbe517d3365a0e62eab5f8a37daa82d1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.0544",
    "kind": "arxiv",
    "version": 1
  }
}