Pith Number

pith:QMNL4ENZ

pith:2013:QMNL4ENZGTM7M3EV35LYPD4IBZ

not attested not anchored not stored refs pending

Wall to Wall Optimal Transport

Charles R. Doering, Gregory P. Chini, Pedram Hassanzadeh

arxiv:1309.5542 v2 · 2013-09-22 · physics.flu-dyn · math-ph · math.MP · math.OC · physics.ao-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QMNL4ENZGTM7M3EV35LYPD4IBZ}

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	2026-05-18T02:49:03.289782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

831abe11b934d9f66c95df57878f880e7f9a510f6473ff13117dc771172310d7

Aliases

arxiv: 1309.5542 · arxiv_version: 1309.5542v2 · doi: 10.48550/arxiv.1309.5542 · pith_short_12: QMNL4ENZGTM7 · pith_short_16: QMNL4ENZGTM7M3EV · pith_short_8: QMNL4ENZ

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/QMNL4ENZGTM7M3EV35LYPD4IBZ \
  | 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: 831abe11b934d9f66c95df57878f880e7f9a510f6473ff13117dc771172310d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e86be7c3636d9b243481c1c8b85a8fdacc437b015cfa16f1a72e5c4b8aa6a7e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OC",
      "physics.ao-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2013-09-22T00:35:39Z",
    "title_canon_sha256": "7e3255331efbb6b61ceda6ef0b6c592d90d39e17abb87789dce2546f7426069a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5542",
    "kind": "arxiv",
    "version": 2
  }
}