Pith Number

pith:TMBWZ2QE

pith:2014:TMBWZ2QEGMBAFLEQWZT2HVVL6Z

not attested not anchored not stored refs pending

Colorful monochromatic connectivity of random graphs

Ran Gu, Xueliang Li, Zhongmei Qin

arxiv:1501.00079 v1 · 2014-12-31 · 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{TMBWZ2QEGMBAFLEQWZT2HVVL6Z}

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	2026-05-18T02:30:10.212098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b036cea04330202ac90b667a3d6abf66432d2b8d3489290662469a32d2c6faa

Aliases

arxiv: 1501.00079 · arxiv_version: 1501.00079v1 · doi: 10.48550/arxiv.1501.00079 · pith_short_12: TMBWZ2QEGMBA · pith_short_16: TMBWZ2QEGMBAFLEQ · pith_short_8: TMBWZ2QE

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/TMBWZ2QEGMBAFLEQWZT2HVVL6Z \
  | 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: 9b036cea04330202ac90b667a3d6abf66432d2b8d3489290662469a32d2c6faa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e65dab7a7441700ac01a2e409f111ca873e67951fd0d045c6b26420aebe9db76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-31T05:27:22Z",
    "title_canon_sha256": "1211e696293b4b579fc39f67b4ef2adeb17ee796c1e8e30405c29f6035c9009b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00079",
    "kind": "arxiv",
    "version": 1
  }
}