Pith Number

pith:YM7UZMQA

pith:2012:YM7UZMQAPAN4FILJ5RD6NKIXTY

not attested not anchored not stored refs pending

Remarks on multi-marginal symmetric Monge-Kantorovich problems

Bernard Maurey, Nassif Ghoussoub

arxiv:1212.1680 v1 · 2012-12-07 · 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{YM7UZMQAPAN4FILJ5RD6NKIXTY}

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	2026-05-18T03:38:56.616594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c33f4cb200781bc2a169ec47e6a9179e3c479bb8e7bc1208b085816037947319

Aliases

arxiv: 1212.1680 · arxiv_version: 1212.1680v1 · doi: 10.48550/arxiv.1212.1680 · pith_short_12: YM7UZMQAPAN4 · pith_short_16: YM7UZMQAPAN4FILJ · pith_short_8: YM7UZMQA

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/YM7UZMQAPAN4FILJ5RD6NKIXTY \
  | 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: c33f4cb200781bc2a169ec47e6a9179e3c479bb8e7bc1208b085816037947319

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "878ee7cffecdd828361fd09ea68daba6a0dc50e4f69bfcfb0a59216a93213a8a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-07T18:56:48Z",
    "title_canon_sha256": "504426d4d9d911f1326ae2db05d81259f647f352635b3bb965a3a2af9a247012"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1680",
    "kind": "arxiv",
    "version": 1
  }
}