Pith Number

pith:V2TZKIXJ

pith:2011:V2TZKIXJFFOMXBN7Q53I52J4FI

not attested not anchored not stored refs pending

On a question on graphs with rainbow connection number 2

Jiuying Dong, Xueliang Li

arxiv:1109.5004 v2 · 2011-09-23 · 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{V2TZKIXJFFOMXBN7Q53I52J4FI}

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	2026-05-18T04:12:20.465771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aea79522e9295ccb85bf87768ee93c2a0eeb15c7ebc94aa3fddefe8401426ee0

Aliases

arxiv: 1109.5004 · arxiv_version: 1109.5004v2 · doi: 10.48550/arxiv.1109.5004 · pith_short_12: V2TZKIXJFFOM · pith_short_16: V2TZKIXJFFOMXBN7 · pith_short_8: V2TZKIXJ

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/V2TZKIXJFFOMXBN7Q53I52J4FI \
  | 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: aea79522e9295ccb85bf87768ee93c2a0eeb15c7ebc94aa3fddefe8401426ee0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7669d41c577d514867420dbf185aa2c9305b6762c0285a96119c96b26c346e53",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-09-23T05:48:07Z",
    "title_canon_sha256": "16d81b36017b53d31756cdca438a52439e44aa2925c04d1ea08ec52c971b912a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5004",
    "kind": "arxiv",
    "version": 2
  }
}