Pith Number

pith:3K3QLJYE

pith:2012:3K3QLJYEZ64KIMNCLCCEW32WGK

not attested not anchored not stored refs pending

Flexible periodic points

Christian Bonatti, Katsutoshi Shinohara

arxiv:1212.1634 v1 · 2012-12-07 · 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{3K3QLJYEZ64KIMNCLCCEW32WGK}

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	2026-05-18T01:37:16.437122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dab705a704cfb8a431a258844b6f5632b63d373e20f9aaf9e48524004137dfaa

Aliases

arxiv: 1212.1634 · arxiv_version: 1212.1634v1 · doi: 10.48550/arxiv.1212.1634 · pith_short_12: 3K3QLJYEZ64K · pith_short_16: 3K3QLJYEZ64KIMNC · pith_short_8: 3K3QLJYE

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/3K3QLJYEZ64KIMNCLCCEW32WGK \
  | 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: dab705a704cfb8a431a258844b6f5632b63d373e20f9aaf9e48524004137dfaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6ef947bc4060fb2280b3c45e177a7b7ec7fe668f0c1ccb6baa19c6616fc73c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-12-07T15:48:03Z",
    "title_canon_sha256": "bad7fa826c759b690f5c3f6e39c6927bbc60653c3871865225227401f221fd76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1634",
    "kind": "arxiv",
    "version": 1
  }
}