Pith Number

pith:TO3FROGP

pith:2013:TO3FROGPDBMNRSE2JAOZ2LXENK

not attested not anchored not stored refs pending

The $C^{1+\alpha}$ hypothesis in Pesin theory revisited

Christian Bonatti, Katsutoshi Shinohara, Sylvain Crovisier

arxiv:1306.6391 v1 · 2013-06-27 · 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{TO3FROGPDBMNRSE2JAOZ2LXENK}

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	2026-05-18T02:43:54.335485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bb658b8cf1858d8c89a481d9d2ee46ab792338dbf120f47da8dade6260e0b17

Aliases

arxiv: 1306.6391 · arxiv_version: 1306.6391v1 · doi: 10.48550/arxiv.1306.6391 · pith_short_12: TO3FROGPDBMN · pith_short_16: TO3FROGPDBMNRSE2 · pith_short_8: TO3FROGP

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/TO3FROGPDBMNRSE2JAOZ2LXENK \
  | 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: 9bb658b8cf1858d8c89a481d9d2ee46ab792338dbf120f47da8dade6260e0b17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e8aee82014ecc3278ec010d1a9010511422c7a5f9a7783a13425e94b93c1c96",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-06-27T01:51:58Z",
    "title_canon_sha256": "4a3afb87bc2fa7de7ded90e8c9f69da41b9f74310f02eaeb9dfceacf1d73d183"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6391",
    "kind": "arxiv",
    "version": 1
  }
}