Pith Number

pith:AHU7LWJM

pith:2013:AHU7LWJMFZLHC4BORMSZ5NK46Y

not attested not anchored not stored refs pending

Residual Deficiency

Mariano Zeron-Medina Laris

arxiv:1304.5061 v2 · 2013-04-18 · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AHU7LWJMFZLHC4BORMSZ5NK46Y}

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	2026-05-18T03:21:11.563928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01e9f5d92c2e5671702e8b259eb55cf60d15178a06eb64fab1974d055b97b0fb

Aliases

arxiv: 1304.5061 · arxiv_version: 1304.5061v2 · doi: 10.48550/arxiv.1304.5061 · pith_short_12: AHU7LWJMFZLH · pith_short_16: AHU7LWJMFZLHC4BO · pith_short_8: AHU7LWJM

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/AHU7LWJMFZLHC4BORMSZ5NK46Y \
  | 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: 01e9f5d92c2e5671702e8b259eb55cf60d15178a06eb64fab1974d055b97b0fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7716c741f834270a559f67656c4d778015d61ff458c7ea2d13baa7851e090c5e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-04-18T09:30:49Z",
    "title_canon_sha256": "db7cd7736c20eeee13688751c442191387ebb288b20ac572bf1325457e6f48c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5061",
    "kind": "arxiv",
    "version": 2
  }
}