Pith Number

pith:EB4NSZRY

pith:2012:EB4NSZRYCNHV7T6MVMI7LG2GH3

not attested not anchored not stored refs pending

Measure theory through dynamical eyes

Anatole Katok, Vaughn Climenhaga

arxiv:1208.4550 v1 · 2012-08-22 · 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{EB4NSZRYCNHV7T6MVMI7LG2GH3}

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	2026-05-18T02:21:00.715793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2078d96638134f5fcfccab11f59b463ee94039df67dd3bf3a8f584e2528db98f

Aliases

arxiv: 1208.4550 · arxiv_version: 1208.4550v1 · doi: 10.48550/arxiv.1208.4550 · pith_short_12: EB4NSZRYCNHV · pith_short_16: EB4NSZRYCNHV7T6M · pith_short_8: EB4NSZRY

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/EB4NSZRYCNHV7T6MVMI7LG2GH3 \
  | 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: 2078d96638134f5fcfccab11f59b463ee94039df67dd3bf3a8f584e2528db98f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e99aed918bd2cae8f75d89b4edfb4c5cac472fc1e1c4b4f6d6c89645e4844bc5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-08-22T16:33:52Z",
    "title_canon_sha256": "2d6170f9a176be9d681199595ccb831a18c68fb92d414fcb7df6486e4463408c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4550",
    "kind": "arxiv",
    "version": 1
  }
}