Pith Number

pith:LJ7STQTN

pith:2011:LJ7STQTNRYJC6P3PZTWXRBAXYU

not attested not anchored not stored refs pending

Optimal transport with branching distance costs and the obstacle problem

Fabio Cavalletti

arxiv:1103.2797 v2 · 2011-03-14 · math.PR · 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{LJ7STQTNRYJC6P3PZTWXRBAXYU}

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	2026-05-18T03:44:34.089531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a7f29c26d8e122f3f6fcced788417c521e4db023d4e5422faa13352744aefc9

Aliases

arxiv: 1103.2797 · arxiv_version: 1103.2797v2 · doi: 10.48550/arxiv.1103.2797 · pith_short_12: LJ7STQTNRYJC · pith_short_16: LJ7STQTNRYJC6P3P · pith_short_8: LJ7STQTN

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/LJ7STQTNRYJC6P3PZTWXRBAXYU \
  | 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: 5a7f29c26d8e122f3f6fcced788417c521e4db023d4e5422faa13352744aefc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9aea7d74facd03e3286161d4d8b01a633b0cdd3c9484be674099c91cd95fc151",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-03-14T21:51:46Z",
    "title_canon_sha256": "34ecc6cf6d1bb756a347d5bc9722b8e474e8543bfc02f55f6022b325927bc121"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2797",
    "kind": "arxiv",
    "version": 2
  }
}