Pith Number

pith:HOL65TR7

pith:2013:HOL65TR7T5DESJGRCCJKO7XYG3

not attested not anchored not stored refs pending

Sum-free cyclic multi-bases and constructions of Ramsey algebras

Jacob Manske, Jeremy F. Alm

arxiv:1307.0889 v4 · 2013-07-03 · 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{HOL65TR7T5DESJGRCCJKO7XYG3}

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	2026-05-18T02:30:33.913765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b97eece3f9f464924d11092a77ef836c9c6bb3c48b0319e7fdd5070857f2947

Aliases

arxiv: 1307.0889 · arxiv_version: 1307.0889v4 · doi: 10.48550/arxiv.1307.0889 · pith_short_12: HOL65TR7T5DE · pith_short_16: HOL65TR7T5DESJGR · pith_short_8: HOL65TR7

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/HOL65TR7T5DESJGRCCJKO7XYG3 \
  | 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: 3b97eece3f9f464924d11092a77ef836c9c6bb3c48b0319e7fdd5070857f2947

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5b872ac6dd487789e714786c283138e8d2fcb91fee69b4b47124d00d0695afa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-07-03T00:49:50Z",
    "title_canon_sha256": "c177a688cafe7051c1b903d85ee94f33df9643800c30f8694c25f5d125779a4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0889",
    "kind": "arxiv",
    "version": 4
  }
}