Pith Number

pith:URBDMSXA

pith:2012:URBDMSXA5XTA25UPYT4EE6R6A4

not attested not anchored not stored refs pending

Extensions of generic measure-preserving actions

Julien Melleray (ICJ)

arxiv:1201.4447 v2 · 2012-01-21 · math.LO · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{URBDMSXA5XTA25UPYT4EE6R6A4}

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	2026-05-18T03:33:37.952918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a442364ae0ede60d768fc4f8427a3e0724a33a7a8156f19ab7ed4324803bbee5

Aliases

arxiv: 1201.4447 · arxiv_version: 1201.4447v2 · doi: 10.48550/arxiv.1201.4447 · pith_short_12: URBDMSXA5XTA · pith_short_16: URBDMSXA5XTA25UP · pith_short_8: URBDMSXA

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/URBDMSXA5XTA25UPYT4EE6R6A4 \
  | 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: a442364ae0ede60d768fc4f8427a3e0724a33a7a8156f19ab7ed4324803bbee5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca4df111b219e1efb3bc2799fb46389b96be25133404a00bd6ffe02ad19c46f4",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-01-21T08:06:11Z",
    "title_canon_sha256": "8dc42584f13c7663829c0f3ba009b1eab4485fd3a567b1cacbceddb451a9f27e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4447",
    "kind": "arxiv",
    "version": 2
  }
}