Pith Number

pith:QPQ6S24U

pith:2009:QPQ6S24U6ZMYVXSMLX45EDLWX7

not attested not anchored not stored refs pending

The Incidence Chromatic Number of Toroidal Grids

Eric Sopena (LaBRI), Jiaojiao Wu (LaBRI)

arxiv:0907.3801 v3 · 2009-07-22 · 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{QPQ6S24U6ZMYVXSMLX45EDLWX7}

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	2026-05-18T03:28:19.953401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83e1e96b94f6598ade4c5df9d20d76bfeaae3b645af321f1f430796a6979c3fe

Aliases

arxiv: 0907.3801 · arxiv_version: 0907.3801v3 · doi: 10.48550/arxiv.0907.3801 · pith_short_12: QPQ6S24U6ZMY · pith_short_16: QPQ6S24U6ZMYVXSM · pith_short_8: QPQ6S24U

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/QPQ6S24U6ZMYVXSMLX45EDLWX7 \
  | 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: 83e1e96b94f6598ade4c5df9d20d76bfeaae3b645af321f1f430796a6979c3fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99c7fb76a7388b7770bf6c61a8ea52ab10e9f3b7a91d39e09d72baf2790e4036",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2009-07-22T09:08:11Z",
    "title_canon_sha256": "97e305e9f10e6426a97c04fbd0cc6cf048ed2daa7a93680fe551d893bc173516"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.3801",
    "kind": "arxiv",
    "version": 3
  }
}