Pith Number

pith:4C4F2B4F

pith:2010:4C4F2B4FP27KC47YXAGWSB6EMO

not attested not anchored not stored refs pending

On some exotic Schottky groups

Marc Peign\'e

arxiv:1010.5869 v1 · 2010-10-28 · 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{4C4F2B4FP27KC47YXAGWSB6EMO}

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	2026-05-18T04:38:15.021100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0b85d07857ebea173f8b80d6907c4638aea550826e08899dc71c20385f90f26

Aliases

arxiv: 1010.5869 · arxiv_version: 1010.5869v1 · doi: 10.48550/arxiv.1010.5869 · pith_short_12: 4C4F2B4FP27K · pith_short_16: 4C4F2B4FP27KC47Y · pith_short_8: 4C4F2B4F

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/4C4F2B4FP27KC47YXAGWSB6EMO \
  | 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: e0b85d07857ebea173f8b80d6907c4638aea550826e08899dc71c20385f90f26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c4479f1ed927c6b6bf2db6b09a301a665a7a4251fbb32126205d5d98e78b1b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-10-28T06:47:10Z",
    "title_canon_sha256": "a3091b9ec1a2526d40b064dafe7ad17b2c7341c75f9835b74c808e5ccf1f2e88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5869",
    "kind": "arxiv",
    "version": 1
  }
}