Pith Number

pith:TKOGW3PY

pith:2011:TKOGW3PY5TL4D4NNVTAXD6JNYJ

not attested not anchored not stored refs pending

Dominated chain recurrent class with singularities

Christian Bonatti, Dawei Yang, Shaobo Gan

arxiv:1106.3905 v1 · 2011-06-20 · 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{TKOGW3PY5TL4D4NNVTAXD6JNYJ}

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	2026-05-18T04:19:41.880740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a9c6b6df8ecd7c1f1adacc171f92dc259210562ef315b32aed95fc5cb8d0132

Aliases

arxiv: 1106.3905 · arxiv_version: 1106.3905v1 · doi: 10.48550/arxiv.1106.3905 · pith_short_12: TKOGW3PY5TL4 · pith_short_16: TKOGW3PY5TL4D4NN · pith_short_8: TKOGW3PY

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/TKOGW3PY5TL4D4NNVTAXD6JNYJ \
  | 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: 9a9c6b6df8ecd7c1f1adacc171f92dc259210562ef315b32aed95fc5cb8d0132

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb943ea96b3ed88190051074cd9447511e66efd233b04d63eeb41af657c4386c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-06-20T13:56:21Z",
    "title_canon_sha256": "6d3a51274ebf5881d61273922155f229601cb68eb51098694f8eed06e71c106e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3905",
    "kind": "arxiv",
    "version": 1
  }
}