Pith Number

pith:RFXWBEGQ

pith:2011:RFXWBEGQBM55DUBTNQIXTNOAHZ

not attested not anchored not stored refs pending

(2,1)-Total labeling of planar graphs with large maximum degree

Guanghui Wang, Jinbo Li, Xin Zhang, Yong Yu

arxiv:1105.1908 v1 · 2011-05-10 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RFXWBEGQBM55DUBTNQIXTNOAHZ}

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	2026-05-18T04:22:30.316601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

896f6090d00b3bd1d0336c1179b5c03e6ebcb5d3948edbce8e1e619372ae17da

Aliases

arxiv: 1105.1908 · arxiv_version: 1105.1908v1 · doi: 10.48550/arxiv.1105.1908 · pith_short_12: RFXWBEGQBM55 · pith_short_16: RFXWBEGQBM55DUBT · pith_short_8: RFXWBEGQ

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/RFXWBEGQBM55DUBTNQIXTNOAHZ \
  | 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: 896f6090d00b3bd1d0336c1179b5c03e6ebcb5d3948edbce8e1e619372ae17da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6d73299e363735114e640e140c8c19e5849ca800c4357f51a904517ff0e9059",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-05-10T11:01:50Z",
    "title_canon_sha256": "0b5d1de9c519e67499fff9036a9fe9dc860061c8d67fa3c39244ef40d1ba56ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1908",
    "kind": "arxiv",
    "version": 1
  }
}