Pith Number

pith:LHB4M53A

pith:2012:LHB4M53AIGS4GOIO5PXPYIZRO7

not attested not anchored not stored refs pending

Recurrence and pressure for group extensions

Johannes Jaerisch

arxiv:1205.4490 v5 · 2012-05-21 · 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{LHB4M53AIGS4GOIO5PXPYIZRO7}

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	2026-05-18T01:23:40.469624Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59c3c6776041a5c3390eebeefc233177ed4d2ac2119a5a5aae69a4914f20c28b

Aliases

arxiv: 1205.4490 · arxiv_version: 1205.4490v5 · doi: 10.48550/arxiv.1205.4490 · pith_short_12: LHB4M53AIGS4 · pith_short_16: LHB4M53AIGS4GOIO · pith_short_8: LHB4M53A

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/LHB4M53AIGS4GOIO5PXPYIZRO7 \
  | 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: 59c3c6776041a5c3390eebeefc233177ed4d2ac2119a5a5aae69a4914f20c28b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f168f80d46b409f6baec7776e17f506cb7079b941beafe2db59925114db42327",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-05-21T05:29:53Z",
    "title_canon_sha256": "10d43445fedb8c994ce0a5225399b12b1730656e2ed6142cb2f35ac6cc50f038"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4490",
    "kind": "arxiv",
    "version": 5
  }
}