Pith Number

pith:U4V4DPPT

pith:2003:U4V4DPPTT2BMU46XNDHA5XFHGW

not attested not anchored not stored refs pending

Recurrence and genericity

Christian Bonatti, Sylvain Crovisier

arxiv:math/0306383 v1 · 2003-06-26 · 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{U4V4DPPTT2BMU46XNDHA5XFHGW}

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	2026-05-18T01:38:29.001498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a72bc1bdf39e82ca73d768ce0edca735a183c190f0b0ca6af09ce3f4d284f052

Aliases

arxiv: math/0306383 · arxiv_version: math/0306383v1 · doi: 10.48550/arxiv.math/0306383 · pith_short_12: U4V4DPPTT2BM · pith_short_16: U4V4DPPTT2BMU46X · pith_short_8: U4V4DPPT

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/U4V4DPPTT2BMU46XNDHA5XFHGW \
  | 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: a72bc1bdf39e82ca73d768ce0edca735a183c190f0b0ca6af09ce3f4d284f052

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0ca5a94f04776af925617e29db8fb58e8e4e75842d6fef7bbb3726673c04041",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2003-06-26T16:25:10Z",
    "title_canon_sha256": "69f5a466d54d53ce51e094915f24d0eaf159e05eea99518c99b83f55c2c0b07c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0306383",
    "kind": "arxiv",
    "version": 1
  }
}