Pith Number

pith:UZTJ77JR

pith:2011:UZTJ77JRNPOME567C3BMDOMV5B

not attested not anchored not stored refs pending

Speedups of compact group extensions

Adam Fieldsteel, Andrey Babichev

arxiv:1112.4377 v1 · 2011-12-19 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UZTJ77JRNPOME567C3BMDOMV5B}

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	2026-05-18T04:06:06.547369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6669ffd316bdcc277df16c2c1b995e845d8a8baa773c5aa239e76011145569f

Aliases

arxiv: 1112.4377 · arxiv_version: 1112.4377v1 · doi: 10.48550/arxiv.1112.4377 · pith_short_12: UZTJ77JRNPOM · pith_short_16: UZTJ77JRNPOME567 · pith_short_8: UZTJ77JR

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/UZTJ77JRNPOME567C3BMDOMV5B \
  | 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: a6669ffd316bdcc277df16c2c1b995e845d8a8baa773c5aa239e76011145569f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a84296aa49f04d4bdb2f034e6b40419c3e4bdd10552b2379dffd7b6bba143e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-12-19T15:59:10Z",
    "title_canon_sha256": "e00e4572c0188996fcddecae08b895bf1b787c204d413b1c098c4a4727990ca0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4377",
    "kind": "arxiv",
    "version": 1
  }
}