Pith Number

pith:VVZXDTDU

pith:2011:VVZXDTDUEXV7TU2CNIKEEFDLEB

not attested not anchored not stored refs pending

Tame dynamics and robust transitivity

Christian Bonatti, Nicolas Gourmelon, Rafael Potrie, Sylvain Crovisier

arxiv:1112.1002 v1 · 2011-12-05 · 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{VVZXDTDUEXV7TU2CNIKEEFDLEB}

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	2026-05-18T04:06:57.268415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad7371cc7425ebf9d3426a1442146b207ab6f5160badd79b8c791e8697ba5c2e

Aliases

arxiv: 1112.1002 · arxiv_version: 1112.1002v1 · doi: 10.48550/arxiv.1112.1002 · pith_short_12: VVZXDTDUEXV7 · pith_short_16: VVZXDTDUEXV7TU2C · pith_short_8: VVZXDTDU

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/VVZXDTDUEXV7TU2CNIKEEFDLEB \
  | 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: ad7371cc7425ebf9d3426a1442146b207ab6f5160badd79b8c791e8697ba5c2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b320bee3c46c33a3419a4989c27ccfd6a7909c94d18a4c2c80edeecb7ddcc982",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-12-05T17:09:18Z",
    "title_canon_sha256": "fe5abea697782152ffce1b757098a5be3938c526acf75d06bbb68e43fa42a0a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1002",
    "kind": "arxiv",
    "version": 1
  }
}