Pith Number

pith:7ZDMSBA2

pith:2007:7ZDMSBA2PSNLMSDGFVQBK66VJV

not attested not anchored not stored refs pending

Automatic structures for semigroup constructions

I. Andrade, L. Descal\c{c}o, M. A. Martins

arxiv:math/0703190 v1 · 2007-03-07 · 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{7ZDMSBA2PSNLMSDGFVQBK66VJV}

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	2026-07-04T14:59:59.464301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe46c9041a7c9ab648662d60157bd54d6d9d46fca1803beb6653ad90def0f0db

Aliases

arxiv: math/0703190 · arxiv_version: math/0703190v1 · doi: 10.48550/arxiv.math/0703190 · pith_short_12: 7ZDMSBA2PSNL · pith_short_16: 7ZDMSBA2PSNLMSDG · pith_short_8: 7ZDMSBA2

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/7ZDMSBA2PSNLMSDGFVQBK66VJV \
  | 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: fe46c9041a7c9ab648662d60157bd54d6d9d46fca1803beb6653ad90def0f0db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "500e8efab3aaf6e4c69e4b44e949185d7121dfedbfac7648075665fe879c6ce3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2007-03-07T11:17:13Z",
    "title_canon_sha256": "9a858a75b4a9d10a3c9aa8ebf5c50aa7a976dc260e9163e7bd6f39c7f48d7ac0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703190",
    "kind": "arxiv",
    "version": 1
  }
}