Pith Number

pith:HKHWVHK7

pith:2013:HKHWVHK7MZAV6GBCKIYPRWYFRK

not attested not anchored not stored refs pending

The empirical cost of optimal incomplete transportation

Carlos Matr\'an, Eustasio del Barrio

arxiv:1310.0924 v1 · 2013-10-03 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HKHWVHK7MZAV6GBCKIYPRWYFRK}

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	2026-05-18T03:11:25.006853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a8f6a9d5f66415f18225230f8db058a8bc890cc790dd85752fadef826b5b53c

Aliases

arxiv: 1310.0924 · arxiv_version: 1310.0924v1 · doi: 10.48550/arxiv.1310.0924 · pith_short_12: HKHWVHK7MZAV · pith_short_16: HKHWVHK7MZAV6GBC · pith_short_8: HKHWVHK7

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/HKHWVHK7MZAV6GBCKIYPRWYFRK \
  | 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: 3a8f6a9d5f66415f18225230f8db058a8bc890cc790dd85752fadef826b5b53c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42a6447ead78b1d05365778c7abf7b3accef0a134b35a858d2ba52a2e6f5bba1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-10-03T08:35:00Z",
    "title_canon_sha256": "7d7373cad3becf6914b0861c3d29af2893e93fcb4329dfebcbcb1927674bd0bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.0924",
    "kind": "arxiv",
    "version": 1
  }
}