Pith Number

pith:BEPMKCFG

pith:2015:BEPMKCFGUE2E37SBB7XSYMJIS4

not attested not anchored not stored refs pending

Probing Graph Proper Total Colorings With Additional Constrained Conditions

Bing Yao, Ming Yao, Xiang-en Chen

arxiv:1601.00883 v1 · 2015-12-29 · math.CO · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BEPMKCFGUE2E37SBB7XSYMJIS4}

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	2026-05-18T01:23:21.376351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

091ec508a6a1344dfe410fef2c312897041c69c45ebe598919b103aacccda01b

Aliases

arxiv: 1601.00883 · arxiv_version: 1601.00883v1 · doi: 10.48550/arxiv.1601.00883 · pith_short_12: BEPMKCFGUE2E · pith_short_16: BEPMKCFGUE2E37SB · pith_short_8: BEPMKCFG

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/BEPMKCFGUE2E37SBB7XSYMJIS4 \
  | 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: 091ec508a6a1344dfe410fef2c312897041c69c45ebe598919b103aacccda01b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fac27a62d667aea01fa0df4969e3c13be24daebf8604bffa92a7afbd8c01dfa",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-29T03:12:56Z",
    "title_canon_sha256": "30cbe21c808a4e7bb518cc14cc24722cf2345cc4dbdb93e2e91b65bc685379a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00883",
    "kind": "arxiv",
    "version": 1
  }
}