Pith Number

pith:O5LDACSU

pith:2011:O5LDACSUJH2NYNOOOCKP4EQ6ZG

not attested not anchored not stored refs pending

Intersections of translated algebraic subtori

Alexander I. Suciu, Gufang Zhao, Yaping Yang

arxiv:1109.1023 v3 · 2011-09-05 · 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{O5LDACSUJH2NYNOOOCKP4EQ6ZG}

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	2026-05-18T03:43:05.329034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7756300a5449f4dc35ce7094fe121ec9b952894f886e288ba93d06feb17e2f84

Aliases

arxiv: 1109.1023 · arxiv_version: 1109.1023v3 · doi: 10.48550/arxiv.1109.1023 · pith_short_12: O5LDACSUJH2N · pith_short_16: O5LDACSUJH2NYNOO · pith_short_8: O5LDACSU

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/O5LDACSUJH2NYNOOOCKP4EQ6ZG \
  | 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: 7756300a5449f4dc35ce7094fe121ec9b952894f886e288ba93d06feb17e2f84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08c46a7fdf093425c7bdf560a3a502799e81e0a4edbf9c09cecdbe60293de795",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-09-05T22:03:02Z",
    "title_canon_sha256": "f361b9930d1d9b3221296cffdc2a75d4c5dcc23e76fb9702a7dc43e37091f923"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1023",
    "kind": "arxiv",
    "version": 3
  }
}