Pith Number

pith:7PQR5O5S

pith:2011:7PQR5O5S5GNT4EXLQNUFP46TYB

not attested not anchored not stored refs pending

Rainbow connections for planar graphs and line graphs

Xiaolong Huang, Xueliang Li, Yongtang Shi

arxiv:1110.3147 v2 · 2011-10-14 · cs.CC · 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{7PQR5O5S5GNT4EXLQNUFP46TYB}

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	2026-05-18T04:08:23.694177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbe11ebbb2e99b3e12eb836857f3d3c0566d6daa60e8610472fb035775407f2a

Aliases

arxiv: 1110.3147 · arxiv_version: 1110.3147v2 · doi: 10.48550/arxiv.1110.3147 · pith_short_12: 7PQR5O5S5GNT · pith_short_16: 7PQR5O5S5GNT4EXL · pith_short_8: 7PQR5O5S

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/7PQR5O5S5GNT4EXLQNUFP46TYB \
  | 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: fbe11ebbb2e99b3e12eb836857f3d3c0566d6daa60e8610472fb035775407f2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffb78d9a038a910e1af73398bbe70d6b45f22a049e482fa66939868bbbdb6f05",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2011-10-14T08:53:50Z",
    "title_canon_sha256": "8a6d0dbdcbeb2af0347abc80ec0c53bdd5b13d84aaa8c70e237aa0d185732b83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3147",
    "kind": "arxiv",
    "version": 2
  }
}