Pith Number

pith:GXP5KIMJ

pith:2016:GXP5KIMJFJIFDXDD5SQOBLXIU7

not attested not anchored not stored refs pending

Entropy of $C^1$ diffeomorphisms without a dominated splitting

Jerome Buzzi, Sylvain Crovisier, Todd Fisher

arxiv:1606.01765 v2 · 2016-06-06 · 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{GXP5KIMJFJIFDXDD5SQOBLXIU7}

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	2026-05-18T00:31:22.628524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35dfd521892a5051dc63eca0e0aee8a7d68d0a8698700d00612e6a2d71aedc09

Aliases

arxiv: 1606.01765 · arxiv_version: 1606.01765v2 · doi: 10.48550/arxiv.1606.01765 · pith_short_12: GXP5KIMJFJIF · pith_short_16: GXP5KIMJFJIFDXDD · pith_short_8: GXP5KIMJ

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/GXP5KIMJFJIFDXDD5SQOBLXIU7 \
  | 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: 35dfd521892a5051dc63eca0e0aee8a7d68d0a8698700d00612e6a2d71aedc09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47937c64c41780c4a29a5e495855e5296e6e77195fd284c13472cbf3870654f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-06-06T14:41:38Z",
    "title_canon_sha256": "884b7ade57daa952476ed0080e106ece8f93317d52309ae1b8c08c820c783314"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.01765",
    "kind": "arxiv",
    "version": 2
  }
}