Pith Number

pith:62AIPMAN

pith:2011:62AIPMANZOB6NGT6WFVHXMZJ5N

not attested not anchored not stored refs pending

Monochromatic cycles and the monochromatic circumference in 2-coloured graphs

Alex Scott, Matthew White

arxiv:1107.5177 v1 · 2011-07-26 · 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{62AIPMANZOB6NGT6WFVHXMZJ5N}

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	2026-05-18T04:16:52.830470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f68087b00dcb83e69a7eb16a7bb329eb743a26c8f23a3430a3f9d8424380b425

Aliases

arxiv: 1107.5177 · arxiv_version: 1107.5177v1 · doi: 10.48550/arxiv.1107.5177 · pith_short_12: 62AIPMANZOB6 · pith_short_16: 62AIPMANZOB6NGT6 · pith_short_8: 62AIPMAN

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/62AIPMANZOB6NGT6WFVHXMZJ5N \
  | 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: f68087b00dcb83e69a7eb16a7bb329eb743a26c8f23a3430a3f9d8424380b425

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e34ab05fa69621db03fa91aa9d685cf5ea2be09c43519cd6eb538197e00e36cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-07-26T11:28:45Z",
    "title_canon_sha256": "8fed52f8d422188718addb44c68546f8c4fb323a476d390e10a31538bb36dec4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5177",
    "kind": "arxiv",
    "version": 1
  }
}