Pith Number

pith:BPMQN27W

pith:2014:BPMQN27W2ZKIRI3QMB4E7RMOPX

not attested not anchored not stored refs pending

On tangent cones in Wasserstein space

John Lott

arxiv:1407.7245 v3 · 2014-07-27 · 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{BPMQN27W2ZKIRI3QMB4E7RMOPX}

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	2026-05-18T00:53:10.988294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bd906ebf6d65488a37060784fc58e7dc994bdcc100ffdfd6d32d02c0b99069b

Aliases

arxiv: 1407.7245 · arxiv_version: 1407.7245v3 · doi: 10.48550/arxiv.1407.7245 · pith_short_12: BPMQN27W2ZKI · pith_short_16: BPMQN27W2ZKIRI3Q · pith_short_8: BPMQN27W

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/BPMQN27W2ZKIRI3QMB4E7RMOPX \
  | 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: 0bd906ebf6d65488a37060784fc58e7dc994bdcc100ffdfd6d32d02c0b99069b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5dba37dc0bf0aac36f28cf51e898e9f62df9c2b5085ff604be0ecc8090f550af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-07-27T15:10:39Z",
    "title_canon_sha256": "1f483f36b36995dd8b4d0381902327ed507b68c0521047e8c6d25afebcb767b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.7245",
    "kind": "arxiv",
    "version": 3
  }
}