Pith Number

pith:QHBFUUIZ

pith:2015:QHBFUUIZDEKQRF3JGPVAOBB7RP

not attested not anchored not stored refs pending

Color-line and Proper Color-line Graphs

Florian Pfender, Van Bang Le

arxiv:1511.01025 v2 · 2015-11-03 · 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{QHBFUUIZDEKQRF3JGPVAOBB7RP}

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	2026-05-17T23:43:57.035820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81c25a5119191508976933ea07043f8bf497138ce5193e767b6e30e629dd64b9

Aliases

arxiv: 1511.01025 · arxiv_version: 1511.01025v2 · doi: 10.48550/arxiv.1511.01025 · pith_short_12: QHBFUUIZDEKQ · pith_short_16: QHBFUUIZDEKQRF3J · pith_short_8: QHBFUUIZ

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/QHBFUUIZDEKQRF3JGPVAOBB7RP \
  | 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: 81c25a5119191508976933ea07043f8bf497138ce5193e767b6e30e629dd64b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "680c2fe7f8cd362d225f5126fa8f920ff0291490c528bb610a6f55a277b8bff6",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-11-03T18:35:29Z",
    "title_canon_sha256": "f8bbfef7161a2ab2bfe34ce60076fdadfe21e679abccb72eca639e944f9c5250"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01025",
    "kind": "arxiv",
    "version": 2
  }
}