Pith Number

pith:43XMCR46

pith:2015:43XMCR46465R676WRM7TXDTHHM

not attested not anchored not stored refs pending

Sets with few differences in abelian groups

Mitchell Lee

arxiv:1508.05524 v3 · 2015-08-22 · 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{43XMCR46465R676WRM7TXDTHHM}

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	2026-05-18T00:47:43.287587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6eec1479ee7bb1f7fd68b3f3b8e673b0fe713d34fc0390f652d368acff1c946

Aliases

arxiv: 1508.05524 · arxiv_version: 1508.05524v3 · doi: 10.48550/arxiv.1508.05524 · pith_short_12: 43XMCR46465R · pith_short_16: 43XMCR46465R676W · pith_short_8: 43XMCR46

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/43XMCR46465R676WRM7TXDTHHM \
  | 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: e6eec1479ee7bb1f7fd68b3f3b8e673b0fe713d34fc0390f652d368acff1c946

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "491cdfc8a431a3aec45b2d6aaff10e6df16d13e429cfd8a4f17797f4757bb7c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-22T16:37:19Z",
    "title_canon_sha256": "3273da9e5bf0af790edee32cb884a802b1830d6d12a3f5e624b92035be5260ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05524",
    "kind": "arxiv",
    "version": 3
  }
}