Pith Number

pith:YMABHCT4

pith:2017:YMABHCT4GRS7BC7XTZN47NHO52

not attested not anchored not stored refs pending

A new upper bound on the game chromatic index of graphs

Ralph Keusch

arxiv:1710.01472 v4 · 2017-10-04 · 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{YMABHCT4GRS7BC7XTZN47NHO52}

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	2026-05-18T00:23:45.343878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c300138a7c3465f08bf79e5bcfb4eeeea93325ad4fc2e306ab6c20d5f04b7b6a

Aliases

arxiv: 1710.01472 · arxiv_version: 1710.01472v4 · doi: 10.48550/arxiv.1710.01472 · pith_short_12: YMABHCT4GRS7 · pith_short_16: YMABHCT4GRS7BC7X · pith_short_8: YMABHCT4

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/YMABHCT4GRS7BC7XTZN47NHO52 \
  | 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: c300138a7c3465f08bf79e5bcfb4eeeea93325ad4fc2e306ab6c20d5f04b7b6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdde6a38db5e2de8a3eff1fa5542a071406df97772dad7a5e8e38d5defb6e107",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-10-04T06:16:30Z",
    "title_canon_sha256": "34939dd5583e4e14a67a84d08fd47b7c8bd580a27509c666d9654e59a8357ede"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.01472",
    "kind": "arxiv",
    "version": 4
  }
}