Pith Number

pith:JEJLZY4H

pith:2012:JEJLZY4HTILHXI42YLGGHLXQTH

not attested not anchored not stored refs pending

Numerical approximation of conditionally invariant measures via Maximum Entropy

Christopher Bose, Rua Murray

arxiv:1211.0068 v3 · 2012-11-01 · 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{JEJLZY4HTILHXI42YLGGHLXQTH}

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	2026-05-18T03:32:58.594636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4912bce3879a167ba39ac2cc63aef099f72fcb131cdd819dedfe248e2bf7e32c

Aliases

arxiv: 1211.0068 · arxiv_version: 1211.0068v3 · doi: 10.48550/arxiv.1211.0068 · pith_short_12: JEJLZY4HTILH · pith_short_16: JEJLZY4HTILHXI42 · pith_short_8: JEJLZY4H

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/JEJLZY4HTILHXI42YLGGHLXQTH \
  | 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: 4912bce3879a167ba39ac2cc63aef099f72fcb131cdd819dedfe248e2bf7e32c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbba2a59f41915b039a2101d4feafa01a79b8d45a5b596d8a4703052363bc15a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-11-01T00:50:41Z",
    "title_canon_sha256": "e23a33be2beba00854da9c5540d4e6069d45d4913672645f2f42f870809aa17b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0068",
    "kind": "arxiv",
    "version": 3
  }
}