Pith Number

pith:4DRWY5HT

pith:2015:4DRWY5HTJXJWO6WOSDNAUURHQS

not attested not anchored not stored refs pending

Optimal transportation between hypersurfaces bounding some strictly convex domains

Emmanuel Humbert, Luc Molinet

arxiv:1507.02489 v1 · 2015-07-09 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4DRWY5HTJXJWO6WOSDNAUURHQS}

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	2026-05-18T01:37:06.575183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0e36c74f34dd3677ace90da0a52278499354d1d28f484dae8b9615f2a0e1106

Aliases

arxiv: 1507.02489 · arxiv_version: 1507.02489v1 · doi: 10.48550/arxiv.1507.02489 · pith_short_12: 4DRWY5HTJXJW · pith_short_16: 4DRWY5HTJXJWO6WO · pith_short_8: 4DRWY5HT

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/4DRWY5HTJXJWO6WOSDNAUURHQS \
  | 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: e0e36c74f34dd3677ace90da0a52278499354d1d28f484dae8b9615f2a0e1106

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57167454ac23fe00bcb65bfadf8c6a633e54c0e3060750b55b2fc46fb4cc5d0f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-07-09T12:54:50Z",
    "title_canon_sha256": "cc3993e230bb82ab22ff4cdfe59948167150208a6b3369eae18d082bff1a10e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02489",
    "kind": "arxiv",
    "version": 1
  }
}