Pith Number

pith:EJQMR77V

pith:2013:EJQMR77VSZRAWD2POP6N7CRLJK

not attested not anchored not stored refs pending

The Exponential Formula for the Wasserstein Metric

Katy Craig

arxiv:1310.2912 v2 · 2013-10-10 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EJQMR77VSZRAWD2POP6N7CRLJK}

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	2026-05-18T02:50:24.304546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2260c8fff596620b0f4f73fcdf8a2b4a8f784c4228233a5d21fd513fea52e579

Aliases

arxiv: 1310.2912 · arxiv_version: 1310.2912v2 · doi: 10.48550/arxiv.1310.2912 · pith_short_12: EJQMR77VSZRA · pith_short_16: EJQMR77VSZRAWD2P · pith_short_8: EJQMR77V

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/EJQMR77VSZRAWD2POP6N7CRLJK \
  | 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: 2260c8fff596620b0f4f73fcdf8a2b4a8f784c4228233a5d21fd513fea52e579

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10c2c2c1adb03e4493adb5562a2f580cdad4b5b9cdf905d1f7b4dc11719c26fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-10-10T18:41:40Z",
    "title_canon_sha256": "2dc158aca94f1274cf3490859f2c96ed8f49604480cd08df316ec7d793f1a972"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2912",
    "kind": "arxiv",
    "version": 2
  }
}