Pith Number

pith:7YTGQBVI

pith:2018:7YTGQBVIWPFZ2YZRYWZJC7NBSN

not attested not anchored not stored refs pending

Nonlinear systems coupled through multi-marginal transport problems

Maxime Laborde

arxiv:1805.01331 v1 · 2018-05-03 · 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{7YTGQBVIWPFZ2YZRYWZJC7NBSN}

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	2026-05-18T00:16:51.740545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe266806a8b3cb9d6331c5b2917da19366bd30169d8f51e2db59f44be39988f7

Aliases

arxiv: 1805.01331 · arxiv_version: 1805.01331v1 · doi: 10.48550/arxiv.1805.01331 · pith_short_12: 7YTGQBVIWPFZ · pith_short_16: 7YTGQBVIWPFZ2YZR · pith_short_8: 7YTGQBVI

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/7YTGQBVIWPFZ2YZRYWZJC7NBSN \
  | 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: fe266806a8b3cb9d6331c5b2917da19366bd30169d8f51e2db59f44be39988f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc689dbd30e4fac495995f94df049ed7827c11eafd906ac1f451809a6491c4d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-05-03T14:40:01Z",
    "title_canon_sha256": "67536bbf38195989d4f67de8f57b12624e98c8f5e684694c8948e70edb3f0b27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.01331",
    "kind": "arxiv",
    "version": 1
  }
}