Pith Number

pith:TIY5VW53

pith:2015:TIY5VW53XG3INIE6X6CEWVQ2QY

not attested not anchored not stored refs pending

Counterexamples in multimarginal optimal transport with Coulomb cost and spherically symmetric data

Federico Stra, Maria Colombo

arxiv:1507.08522 v1 · 2015-07-30 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TIY5VW53XG3INIE6X6CEWVQ2QY}

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	2026-05-18T01:36:06.202381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a31dadbbbb9b686a09ebf844b561a863965759dde7f7a5b08bb15200f1105c3

Aliases

arxiv: 1507.08522 · arxiv_version: 1507.08522v1 · doi: 10.48550/arxiv.1507.08522 · pith_short_12: TIY5VW53XG3I · pith_short_16: TIY5VW53XG3INIE6 · pith_short_8: TIY5VW53

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/TIY5VW53XG3INIE6X6CEWVQ2QY \
  | 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: 9a31dadbbbb9b686a09ebf844b561a863965759dde7f7a5b08bb15200f1105c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7f407de029cb550de9282cec06ecee8c96e53161cde137d446d0529b2da90a7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-07-30T14:47:40Z",
    "title_canon_sha256": "f2ab17d2e3e6620238cf94efa4d5569f2ac981b5e0c9fd3c99574185e758ac6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08522",
    "kind": "arxiv",
    "version": 1
  }
}