Pith Number

pith:R3OSDR6O

pith:2017:R3OSDR6OVHYPNU3GNDKXQRECUR

not attested not anchored not stored refs pending

A partial Laplacian as an infinitesimal generator on the Wasserstein space

Wilfrid Gangbo, Yat Tin Chow

arxiv:1710.10536 v1 · 2017-10-28 · 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{R3OSDR6OVHYPNU3GNDKXQRECUR}

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	2026-05-18T00:31:47.195257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8edd21c7cea9f0f6d36668d5784482a47ad27a44c0c7be56446bb7fc95461bc4

Aliases

arxiv: 1710.10536 · arxiv_version: 1710.10536v1 · doi: 10.48550/arxiv.1710.10536 · pith_short_12: R3OSDR6OVHYP · pith_short_16: R3OSDR6OVHYPNU3G · pith_short_8: R3OSDR6O

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/R3OSDR6OVHYPNU3GNDKXQRECUR \
  | 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: 8edd21c7cea9f0f6d36668d5784482a47ad27a44c0c7be56446bb7fc95461bc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb2daf11e7c7239f6906b00882e2c5428b5990a7fe290c76dfcf0d1831f78005",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-10-28T23:40:55Z",
    "title_canon_sha256": "c2bcb77d590f57c50bb98af81f5384792b6023197b77f8dc50021f14aa68bb9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.10536",
    "kind": "arxiv",
    "version": 1
  }
}