Pith Number

pith:72ZLFWKD

pith:2014:72ZLFWKDAAGQJDAM4JJ6J4XGCI

not attested not anchored not stored refs pending

Representation of group isomorphisms. The compact case

Margarita Gary, Mar\'ia V. Ferrer, Salvador Hern\'andez

arxiv:1411.1593 v2 · 2014-11-06 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{72ZLFWKDAAGQJDAM4JJ6J4XGCI}

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	2026-05-18T02:31:01.990445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

feb2b2d943000d048c0ce253e4f2e6121cb98b871fdc0ce3da5f4222bee67e73

Aliases

arxiv: 1411.1593 · arxiv_version: 1411.1593v2 · doi: 10.48550/arxiv.1411.1593 · pith_short_12: 72ZLFWKDAAGQ · pith_short_16: 72ZLFWKDAAGQJDAM · pith_short_8: 72ZLFWKD

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/72ZLFWKDAAGQJDAM4JJ6J4XGCI \
  | 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: feb2b2d943000d048c0ce253e4f2e6121cb98b871fdc0ce3da5f4222bee67e73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec969a3bc4451648a050fa7b2f4d2f09797c14b2870cbb7f5d955105d4fec8e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2014-11-06T13:00:26Z",
    "title_canon_sha256": "c5fc476c3377b0c007f30b075898e46bc5dc02191d83984cd67039b0209362a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.1593",
    "kind": "arxiv",
    "version": 2
  }
}