Pith Number

pith:FCGSYXLY

pith:2014:FCGSYXLYARD25PCB4O5O2I43HH

not attested not anchored not stored refs pending

Deciding the On-line Chromatic Number of a Graph with Pre-Coloring is PSPACE-Complete

Christian Kudahl

arxiv:1406.1623 v1 · 2014-06-06 · 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{FCGSYXLYARD25PCB4O5O2I43HH}

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	2026-05-18T02:50:22.027984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

288d2c5d780447aebc41e3baed239b39cd6566dddeb3745823c5b05f9f7bc32b

Aliases

arxiv: 1406.1623 · arxiv_version: 1406.1623v1 · doi: 10.48550/arxiv.1406.1623 · pith_short_12: FCGSYXLYARD2 · pith_short_16: FCGSYXLYARD25PCB · pith_short_8: FCGSYXLY

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/FCGSYXLYARD25PCB4O5O2I43HH \
  | 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: 288d2c5d780447aebc41e3baed239b39cd6566dddeb3745823c5b05f9f7bc32b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6edf75a3946795bb9f0486cf5c91c45d3aa39012794da647825884fc2317c60",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2014-06-06T09:52:33Z",
    "title_canon_sha256": "0873475029e8a075bd634428939b42b9336cd3e595047cdc1753dd6ab0f5f4cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.1623",
    "kind": "arxiv",
    "version": 1
  }
}