Pith Number

pith:NF7KAAQO

pith:2015:NF7KAAQOVKSYDWFEGEVGBGF3PF

not attested not anchored not stored refs pending

Convex integration for the Monge-Amp\`ere equation in two dimensions

Marta Lewicka, Mohammad Reza Pakzad

arxiv:1508.01362 v2 · 2015-08-06 · math.AP · math-ph · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NF7KAAQOVKSYDWFEGEVGBGF3PF}

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	2026-05-18T00:42:33.370613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

697ea0020eaaa581d8a4312a6098bb794fcb081e1d003ba6ced786a64e9fcc9e

Aliases

arxiv: 1508.01362 · arxiv_version: 1508.01362v2 · doi: 10.48550/arxiv.1508.01362 · pith_short_12: NF7KAAQOVKSY · pith_short_16: NF7KAAQOVKSYDWFE · pith_short_8: NF7KAAQO

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/NF7KAAQOVKSYDWFEGEVGBGF3PF \
  | 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: 697ea0020eaaa581d8a4312a6098bb794fcb081e1d003ba6ced786a64e9fcc9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57b388b9916ef379b2feea44677daad30841c90ce65e4218e2995faa51143542",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-08-06T11:04:33Z",
    "title_canon_sha256": "16745f9de1cdf5a6d415135fc8ad5a8407fc109b70ec8fe048bf9e1f5417a85b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01362",
    "kind": "arxiv",
    "version": 2
  }
}