Pith Number

pith:BKIWBOEB

pith:2015:BKIWBOEBGLJMDXT27RVPMUQ777

not attested not anchored not stored refs pending

Ergodic geometry for non-elementary rank one manifolds

Gabriele Link, Jean-Claude Picaud

arxiv:1508.05854 v2 · 2015-08-24 · math.DG · 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{BKIWBOEBGLJMDXT27RVPMUQ777}

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	2026-05-18T01:15:23.320138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a9160b88132d2c1de7afc6af6521fffe70ccc08a605f47e900bc7134dc66be7

Aliases

arxiv: 1508.05854 · arxiv_version: 1508.05854v2 · doi: 10.48550/arxiv.1508.05854 · pith_short_12: BKIWBOEBGLJM · pith_short_16: BKIWBOEBGLJMDXT2 · pith_short_8: BKIWBOEB

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/BKIWBOEBGLJMDXT27RVPMUQ777 \
  | 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: 0a9160b88132d2c1de7afc6af6521fffe70ccc08a605f47e900bc7134dc66be7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2272cebfb83edf7c3204cc1346fcd27e9234dc475ed5de0f90fbc9156e2ef8c0",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-08-24T15:59:01Z",
    "title_canon_sha256": "5df97d34af33a5bf91b08cba90377e2b535bde98ed3c2381221039c6fafa64ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05854",
    "kind": "arxiv",
    "version": 2
  }
}