Pith Number

pith:AMO4KPYW

pith:2012:AMO4KPYWCIHMMAQCUUQTZ45XKM

not attested not anchored not stored refs pending

Rainbow Connectivity of Sparse Random Graphs

Alan Frieze, Charalampos E. Tsourakakis

arxiv:1201.4603 v3 · 2012-01-22 · math.CO · cs.DM · cs.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AMO4KPYWCIHMMAQCUUQTZ45XKM}

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	2026-05-18T03:44:15.428338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

031dc53f16120ec60202a5213cf3b75305d8981a3dc0fdddd619bbba5c0a90ee

Aliases

arxiv: 1201.4603 · arxiv_version: 1201.4603v3 · doi: 10.48550/arxiv.1201.4603 · pith_short_12: AMO4KPYWCIHM · pith_short_16: AMO4KPYWCIHMMAQC · pith_short_8: AMO4KPYW

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/AMO4KPYWCIHMMAQCUUQTZ45XKM \
  | 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: 031dc53f16120ec60202a5213cf3b75305d8981a3dc0fdddd619bbba5c0a90ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c87dd7287fcd754836197f2ea170f72ea76eceb358d5352d551e324392e5c69",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-01-22T21:22:33Z",
    "title_canon_sha256": "f4b3541bf108191a28ac334a28fb576ac7e197ef7828c2298b94aeff6ddc833f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4603",
    "kind": "arxiv",
    "version": 3
  }
}