Pith Number

pith:G2I7WK2S

pith:2011:G2I7WK2SNQAV6DX4OROHTQUAWK

not attested not anchored not stored refs pending

Isomorphism classes for certain expanding maps and their group extensions

Eugen Mihailescu

arxiv:1102.2236 v1 · 2011-02-10 · 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{G2I7WK2SNQAV6DX4OROHTQUAWK}

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	2026-05-18T04:28:56.458264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3691fb2b526c015f0efc745c79c280b2a779faf6d1f15796fe2a1ff563b29f35

Aliases

arxiv: 1102.2236 · arxiv_version: 1102.2236v1 · doi: 10.48550/arxiv.1102.2236 · pith_short_12: G2I7WK2SNQAV · pith_short_16: G2I7WK2SNQAV6DX4 · pith_short_8: G2I7WK2S

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/G2I7WK2SNQAV6DX4OROHTQUAWK \
  | 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: 3691fb2b526c015f0efc745c79c280b2a779faf6d1f15796fe2a1ff563b29f35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6daaff41a7e22aa023e1f56dcfad660d6438bc99616200b30460dc6eb2f8c81",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-02-10T21:08:15Z",
    "title_canon_sha256": "be82995d1632941c2497d56066979a7d876950de19519500cf348b2c9425bcf5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2236",
    "kind": "arxiv",
    "version": 1
  }
}