Pith Number

pith:LOSTGBL5

pith:2014:LOSTGBL5A4BBWKW3MYTS3KPJES

not attested not anchored not stored refs pending

Finite ergodic index and asymmetry for infinite measure preserving actions

Alexandre I. Danilenko

arxiv:1412.4257 v2 · 2014-12-13 · 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{LOSTGBL5A4BBWKW3MYTS3KPJES}

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	2026-05-18T01:36:43.484360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ba533057d07021b2adb66272da9e9248e33aa0cffe51afae50f8a7cbe4f9882

Aliases

arxiv: 1412.4257 · arxiv_version: 1412.4257v2 · doi: 10.48550/arxiv.1412.4257 · pith_short_12: LOSTGBL5A4BB · pith_short_16: LOSTGBL5A4BBWKW3 · pith_short_8: LOSTGBL5

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/LOSTGBL5A4BBWKW3MYTS3KPJES \
  | 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: 5ba533057d07021b2adb66272da9e9248e33aa0cffe51afae50f8a7cbe4f9882

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0b82e243f237f52a035d693578a701d4ab3c51908a71d68ae3d4e4deffd2116",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-12-13T17:05:46Z",
    "title_canon_sha256": "3c249020c0375ab4bcc0672845b6f6d4ad327e7626dc4bf250e850df89879146"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.4257",
    "kind": "arxiv",
    "version": 2
  }
}