Pith Number

pith:GZ35DNRC

pith:2015:GZ35DNRCN4EHOFQX4PQ2KFBBY7

not attested not anchored not stored refs pending

Cartesian Product and Acyclic Edge Colouring

C.R. Subramanian, Rahul Muthu

arxiv:1508.01266 v1 · 2015-08-06 · 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{GZ35DNRCN4EHOFQX4PQ2KFBBY7}

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	2026-05-18T01:35:43.024141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3677d1b6226f08771617e3e1a51421c7cc79257b50d629e7447dbae892260bc1

Aliases

arxiv: 1508.01266 · arxiv_version: 1508.01266v1 · doi: 10.48550/arxiv.1508.01266 · pith_short_12: GZ35DNRCN4EH · pith_short_16: GZ35DNRCN4EHOFQX · pith_short_8: GZ35DNRC

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/GZ35DNRCN4EHOFQX4PQ2KFBBY7 \
  | 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: 3677d1b6226f08771617e3e1a51421c7cc79257b50d629e7447dbae892260bc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "726da5dd6cab92f2122f9cb33e7b221e358c1b4be390f09bc8421f7bd669f243",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-06T02:31:18Z",
    "title_canon_sha256": "54af3fe3aa8c759d7b37b978ad5425df40775b4d970a736bdf9aa3dcd7cfa17f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01266",
    "kind": "arxiv",
    "version": 1
  }
}