Pith Number

pith:RFNA57ZM

pith:2013:RFNA57ZMMWNISZUJ32YQY5YF56

not attested not anchored not stored refs pending

On properties of the Generalized Wasserstein distance

Benedetto Piccoli, Francesco Rossi

arxiv:1304.7014 v3 · 2013-04-25 · math.AP · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RFNA57ZMMWNISZUJ32YQY5YF56}

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	2026-05-18T02:34:52.704119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

895a0eff2c659a896689deb10c7705ef87038ac14107c12498f7aefcfe17823f

Aliases

arxiv: 1304.7014 · arxiv_version: 1304.7014v3 · doi: 10.48550/arxiv.1304.7014 · pith_short_12: RFNA57ZMMWNI · pith_short_16: RFNA57ZMMWNISZUJ · pith_short_8: RFNA57ZM

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/RFNA57ZMMWNISZUJ32YQY5YF56 \
  | 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: 895a0eff2c659a896689deb10c7705ef87038ac14107c12498f7aefcfe17823f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "658f44d0981aa68aa4e6e9f7373a53c5851792d59921e0d370a591c02401473f",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-04-25T20:06:20Z",
    "title_canon_sha256": "a979224db3fa949365408c28b2f5362f7f11068a0eb15c4c13e9af8f6f69eeae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7014",
    "kind": "arxiv",
    "version": 3
  }
}