Pith Number

pith:54X2L4FX

pith:2007:54X2L4FXCRDQO45TUNT2236Y46

not attested not anchored not stored refs pending

Upgrading the Local Ergodic Theorem for planar semi-dispersing billiards

N. Chernov, N. Simanyi

arxiv:0705.4125 v3 · 2007-05-29 · math.DS · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{54X2L4FXCRDQO45TUNT2236Y46}

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	2026-05-18T04:42:23.282803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef2fa5f0b714470773b3a367ad6fd8e780c4d6ccbec0d4879f8d4d10dc394b36

Aliases

arxiv: 0705.4125 · arxiv_version: 0705.4125v3 · doi: 10.48550/arxiv.0705.4125 · pith_short_12: 54X2L4FXCRDQ · pith_short_16: 54X2L4FXCRDQO45T · pith_short_8: 54X2L4FX

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/54X2L4FXCRDQO45TUNT2236Y46 \
  | 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: ef2fa5f0b714470773b3a367ad6fd8e780c4d6ccbec0d4879f8d4d10dc394b36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b72e952c410fbc84344f6182cc8956f62ab4919518c32329f102fa92849cdaf2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2007-05-29T01:06:06Z",
    "title_canon_sha256": "301f576cddde769d54b3e6e8d620dc9e26a0b5f3100174f71e25e536b0a0a0cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.4125",
    "kind": "arxiv",
    "version": 3
  }
}