Pith Number

pith:BHFQ4KTG

pith:2012:BHFQ4KTGE5AFO34ON4OISHMWOM

not attested not anchored not stored refs pending

Central Lyapunov exponent of partially hyperbolic diffeomorphisms of $\mathbb{T}^3$

Ali Tahzibi, Gabriel Ponce

arxiv:1204.0994 v2 · 2012-04-04 · 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{BHFQ4KTGE5AFO34ON4OISHMWOM}

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	2026-05-18T03:43:18.254968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09cb0e2a662740576f8e6f1c891d967312bae4a18770977865199dd01d6e1056

Aliases

arxiv: 1204.0994 · arxiv_version: 1204.0994v2 · doi: 10.48550/arxiv.1204.0994 · pith_short_12: BHFQ4KTGE5AF · pith_short_16: BHFQ4KTGE5AFO34O · pith_short_8: BHFQ4KTG

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/BHFQ4KTGE5AFO34ON4OISHMWOM \
  | 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: 09cb0e2a662740576f8e6f1c891d967312bae4a18770977865199dd01d6e1056

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afa65a3d1d3c97a7eb967668d657a63ff4e4b927ae38c5dad640061721388d63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-04-04T16:43:05Z",
    "title_canon_sha256": "77a5730e6b2abe139dbef4fbfac8e9dd570b31b75c3708a792e4dc183cb157c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0994",
    "kind": "arxiv",
    "version": 2
  }
}