Pith Number

pith:366WEMX4

pith:2011:366WEMX43JI7KJAIW5KK6W64AJ

not attested not anchored not stored refs pending

Degrees in oriented hypergraphs and Ramsey p-chromatic number

Adriana Hansberg, Yair Caro

arxiv:1112.3302 v1 · 2011-12-14 · 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{366WEMX43JI7KJAIW5KK6W64AJ}

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	2026-05-18T04:06:19.548274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfbd6232fcda51f52408b754af5bdc0271aab8b405614a59f31335eea59f0388

Aliases

arxiv: 1112.3302 · arxiv_version: 1112.3302v1 · doi: 10.48550/arxiv.1112.3302 · pith_short_12: 366WEMX43JI7 · pith_short_16: 366WEMX43JI7KJAI · pith_short_8: 366WEMX4

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/366WEMX43JI7KJAIW5KK6W64AJ \
  | 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: dfbd6232fcda51f52408b754af5bdc0271aab8b405614a59f31335eea59f0388

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6481464df845a1168dca040a428a8b7ad8db8cba3354a2ecc1da13f622fde147",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-12-14T18:54:45Z",
    "title_canon_sha256": "f38974d7a944e2a44f19414df065d897733e892111b4b57c751c5a35b2ab864f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3302",
    "kind": "arxiv",
    "version": 1
  }
}