Pith Number

pith:FX4AO4SK

pith:2013:FX4AO4SKD2B5XKCQRYMBJF55HK

not attested not anchored not stored refs pending

Obstructions to regularity in the classical Monge problem

Emanuel Indrei, Maria Colombo

arxiv:1311.5868 v1 · 2013-11-22 · math.AP · math.CA · math.FA · math.OC · 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{FX4AO4SKD2B5XKCQRYMBJF55HK}

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	2026-05-18T03:06:23.037084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2df807724a1e83dba8508e181497bd3ab7b259736d7b8872e7ffc5db175341fd

Aliases

arxiv: 1311.5868 · arxiv_version: 1311.5868v1 · doi: 10.48550/arxiv.1311.5868 · pith_short_12: FX4AO4SKD2B5 · pith_short_16: FX4AO4SKD2B5XKCQ · pith_short_8: FX4AO4SK

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/FX4AO4SKD2B5XKCQRYMBJF55HK \
  | 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: 2df807724a1e83dba8508e181497bd3ab7b259736d7b8872e7ffc5db175341fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b24440ddd19f6231b7039853256cb73ddd4633edf7bb60aec4ad5fedecfaf3e2",
    "cross_cats_sorted": [
      "math.CA",
      "math.FA",
      "math.OC",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-11-22T20:20:36Z",
    "title_canon_sha256": "43d9f73c5664ff2a5568cf0892c66bd51ee3bc30d268ca13394b9d00a5016029"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5868",
    "kind": "arxiv",
    "version": 1
  }
}