Pith Number

pith:4GYKTCS2

pith:2013:4GYKTCS2Z5S5LFPDHIPAQHQK7V

not attested not anchored not stored refs pending

The Monge-Amp\`ere equation and its link to optimal transportation

Alessio Figalli, Guido De Philippis

arxiv:1310.6167 v1 · 2013-10-23 · 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{4GYKTCS2Z5S5LFPDHIPAQHQK7V}

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	2026-05-18T03:09:21.236785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1b0a98a5acf65d595e33a1e081e0afd43e9ae6e8a141b45431bd9c8040d5731

Aliases

arxiv: 1310.6167 · arxiv_version: 1310.6167v1 · doi: 10.48550/arxiv.1310.6167 · pith_short_12: 4GYKTCS2Z5S5 · pith_short_16: 4GYKTCS2Z5S5LFPD · pith_short_8: 4GYKTCS2

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/4GYKTCS2Z5S5LFPDHIPAQHQK7V \
  | 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: e1b0a98a5acf65d595e33a1e081e0afd43e9ae6e8a141b45431bd9c8040d5731

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5765fa40571f9f657c8b7db8f503b201eb587cf1298b5bd805bbd0a937b45dd1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-10-23T09:55:49Z",
    "title_canon_sha256": "add24f7a1c226f150dba723d8d12413cef6b3304521c6df4f16c5ab1e124c15f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.6167",
    "kind": "arxiv",
    "version": 1
  }
}