Pith Number

pith:V2O47IMR

pith:2011:V2O47IMRVAA3Q6NDWWA4DKKN7L

not attested not anchored not stored refs pending

Rigidity of Schottky sets

Bruce Kleiner, Mario Bonk, Sergei Merenkov

arxiv:1102.4381 v1 · 2011-02-22 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V2O47IMRVAA3Q6NDWWA4DKKN7L}

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	2026-05-18T04:28:09.099156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae9dcfa191a801b879a3b581c1a94dfae08b94d720d3cfc2ce16df5cb9d43b8e

Aliases

arxiv: 1102.4381 · arxiv_version: 1102.4381v1 · doi: 10.48550/arxiv.1102.4381 · pith_short_12: V2O47IMRVAA3 · pith_short_16: V2O47IMRVAA3Q6ND · pith_short_8: V2O47IMR

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/V2O47IMRVAA3Q6NDWWA4DKKN7L \
  | 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: ae9dcfa191a801b879a3b581c1a94dfae08b94d720d3cfc2ce16df5cb9d43b8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d91c856523160b946b7fb46e40efb9cf625abeece8926f2483c43c42151ca6e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-02-22T01:45:14Z",
    "title_canon_sha256": "3d9e2f7210a7788e2d622bf8cafd28136632b736ea1bcafb550d2babf2fdd4d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4381",
    "kind": "arxiv",
    "version": 1
  }
}