Pith Number

pith:TNBIL7QF

pith:2013:TNBIL7QFWNFRXYJYEMGHRBHGQ3

not attested not anchored not stored refs pending

Space complexity of list H-colouring: a dichotomy

Arash Rafiey, Benoit Larose, Laszlo Egri, Pavol Hell

arxiv:1308.0180 v1 · 2013-08-01 · cs.CC · cs.DM · 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{TNBIL7QFWNFRXYJYEMGHRBHGQ3}

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	2026-05-18T03:16:59.613816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b4285fe05b34b1be138230c7884e686e41c908e546ea59ff74bc5a009428b55

Aliases

arxiv: 1308.0180 · arxiv_version: 1308.0180v1 · doi: 10.48550/arxiv.1308.0180 · pith_short_12: TNBIL7QFWNFR · pith_short_16: TNBIL7QFWNFRXYJY · pith_short_8: TNBIL7QF

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/TNBIL7QFWNFRXYJYEMGHRBHGQ3 \
  | 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: 9b4285fe05b34b1be138230c7884e686e41c908e546ea59ff74bc5a009428b55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd0c2330ea1aca99498562568147b26aa632c684a4ecf7e468cc71dde8d77813",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2013-08-01T12:51:16Z",
    "title_canon_sha256": "d95f0974f4de7cee2eb0e13ac34a4d29eb3ff70a6dada68d798af8c50f2eb2ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0180",
    "kind": "arxiv",
    "version": 1
  }
}