Pith Number

pith:BGWJIJZ2

pith:2013:BGWJIJZ24RZ5AWY7GECGDSJZHJ

not attested not anchored not stored refs pending

Ring extension of entire ring with conjugation; arithmetic in entire rings

Alexandre Laugier

arxiv:1302.3111 v1 · 2013-02-11 · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BGWJIJZ24RZ5AWY7GECGDSJZHJ}

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	2026-05-18T03:33:48.700010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09ac94273ae473d05b1f310461c9393a4c8968d40524eee45cba4a33a53ee333

Aliases

arxiv: 1302.3111 · arxiv_version: 1302.3111v1 · doi: 10.48550/arxiv.1302.3111 · pith_short_12: BGWJIJZ24RZ5 · pith_short_16: BGWJIJZ24RZ5AWY7 · pith_short_8: BGWJIJZ2

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/BGWJIJZ24RZ5AWY7GECGDSJZHJ \
  | 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: 09ac94273ae473d05b1f310461c9393a4c8968d40524eee45cba4a33a53ee333

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53519826ac1afa30e919285074701f2cd43e957eba94d57978124c7e90793296",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2013-02-11T11:14:56Z",
    "title_canon_sha256": "f9a72a17fe3d79c36df40375a6cabc7b3cb3c45ad07fee14ab4d321fcdd6a7f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3111",
    "kind": "arxiv",
    "version": 1
  }
}