Pith Number

pith:6732NKTQ

pith:2013:6732NKTQ7LQBGANEHOKIMDV4PK

not attested not anchored not stored refs pending

Stein structures: existence and flexibility

Kai Cieliebak, Yakov Eliashberg

arxiv:1305.1619 v1 · 2013-05-07 · math.SG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6732NKTQ7LQBGANEHOKIMDV4PK}

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	2026-05-18T03:26:21.183769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7f7a6aa70fae01301a43b94860ebc7a8c978e419488668044a24623d6b52283

Aliases

arxiv: 1305.1619 · arxiv_version: 1305.1619v1 · doi: 10.48550/arxiv.1305.1619 · pith_short_12: 6732NKTQ7LQB · pith_short_16: 6732NKTQ7LQBGANE · pith_short_8: 6732NKTQ

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/6732NKTQ7LQBGANEHOKIMDV4PK \
  | 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: f7f7a6aa70fae01301a43b94860ebc7a8c978e419488668044a24623d6b52283

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aeca2ea2c1f581d900c8ba46892ce69eeeb79b27afcaa13c01acc6d52f491b0e",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2013-05-07T19:55:49Z",
    "title_canon_sha256": "813378cdd498204e819f4155c9e9f943b75d69c330b92bdbf60ef945cd79acec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.1619",
    "kind": "arxiv",
    "version": 1
  }
}