Pith Number

pith:P5CDKM3F

pith:2006:P5CDKM3FSKP6N34ILJTIN7BMSZ

not attested not anchored not stored refs pending

Some geometric calculations on Wasserstein space

John Lott

arxiv:math/0612562 v2 · 2006-12-19 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P5CDKM3FSKP6N34ILJTIN7BMSZ}

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.

Cited by

1 paper in Pith

Multi-scale Optimal Transport for Complete Collider Events

Receipt and verification

First computed	2026-07-04T15:00:45.425055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f44353365929fe6ef885a6686fc2c9649521b6f852a074f3bff988cfb4610c6

Aliases

arxiv: math/0612562 · arxiv_version: math/0612562v2 · doi: 10.48550/arxiv.math/0612562 · pith_short_12: P5CDKM3FSKP6 · pith_short_16: P5CDKM3FSKP6N34I · pith_short_8: P5CDKM3F

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/P5CDKM3FSKP6N34ILJTIN7BMSZ \
  | 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: 7f44353365929fe6ef885a6686fc2c9649521b6f852a074f3bff988cfb4610c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbe288d8ead5ca5a5a8eb472239eb6037baf050c6c22e48b1d2f20a8d1aa9cbb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2006-12-19T17:35:17Z",
    "title_canon_sha256": "5991baee489b912ebf75d45de71a7497141d5650011358c814e428fa18658257"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612562",
    "kind": "arxiv",
    "version": 2
  }
}