Pith Number

pith:DEFGQXJD

pith:2010:DEFGQXJDZKPI724Q5WA27NBULV

not attested not anchored not stored refs pending

Optimal transportation, topology and uniqueness

Hwa Kil Kim, Najma Ahmad, Robert J. McCann

arxiv:1008.4419 v1 · 2010-08-26 · 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{DEFGQXJDZKPI724Q5WA27NBULV}

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	2026-05-18T04:41:45.335147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

190a685d23ca9e8feb90ed81afb4345d4f98429a1311872379e3150e40e4679b

Aliases

arxiv: 1008.4419 · arxiv_version: 1008.4419v1 · doi: 10.48550/arxiv.1008.4419 · pith_short_12: DEFGQXJDZKPI · pith_short_16: DEFGQXJDZKPI724Q · pith_short_8: DEFGQXJD

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/DEFGQXJDZKPI724Q5WA27NBULV \
  | 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: 190a685d23ca9e8feb90ed81afb4345d4f98429a1311872379e3150e40e4679b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60a36542cbb1eeacd552affb737efc63d7ea9f0952fb37487da1d32e13675f39",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-08-26T03:03:17Z",
    "title_canon_sha256": "f74d1d55a421caf458f0ca10ad2c2cea7bb4d8b99b0910242d9bdb54052b7565"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4419",
    "kind": "arxiv",
    "version": 1
  }
}