Pith Number

pith:7F7UCDLJ

pith:2012:7F7UCDLJ6THE2YYLPTJ454V65B

not attested not anchored not stored refs pending

Covering semigroups

Vik. Kulikov, V. Kharlamov

arxiv:1205.4892 v1 · 2012-05-22 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7F7UCDLJ6THE2YYLPTJ454V65B}

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	2026-05-18T03:55:11.388919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f97f410d69f4ce4d630b7cd3cef2bee85f6a264d9b626e2e34dc5fae8d87a751

Aliases

arxiv: 1205.4892 · arxiv_version: 1205.4892v1 · doi: 10.48550/arxiv.1205.4892 · pith_short_12: 7F7UCDLJ6THE · pith_short_16: 7F7UCDLJ6THE2YYL · pith_short_8: 7F7UCDLJ

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/7F7UCDLJ6THE2YYLPTJ454V65B \
  | 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: f97f410d69f4ce4d630b7cd3cef2bee85f6a264d9b626e2e34dc5fae8d87a751

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "658a4737a43c35ce86e3b2c451d1e8e2a5a58d58a2376908a8088939ace3b53a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-05-22T12:25:45Z",
    "title_canon_sha256": "02824477391f67a9599a1735a8e6eff86dafb741ea1a126a9277c5031d689bc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4892",
    "kind": "arxiv",
    "version": 1
  }
}