Pith Number

pith:SSQES7V3

pith:2026:SSQES7V3L3TU6DOOZHFPMY7K34

not attested not anchored not stored refs pending

Finding Simple Proofs for First-Order Optimization

Adrien Taylor, Aymeric Dieuleveut, Baptiste Goujaud, Daniel Berg Thomsen, Manu Upadhyaya

arxiv:2607.08753 v1 · 2026-07-09 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SSQES7V3L3TU6DOOZHFPMY7K34}

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	2026-07-10T01:19:59.322361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94a0497ebb5ee74f0dcec9caf663eadf02ae5d22590fabed054888ab6f300627

Aliases

arxiv: 2607.08753 · arxiv_version: 2607.08753v1 · doi: 10.48550/arxiv.2607.08753 · pith_short_12: SSQES7V3L3TU · pith_short_16: SSQES7V3L3TU6DOO · pith_short_8: SSQES7V3

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/SSQES7V3L3TU6DOOZHFPMY7K34 \
  | 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: 94a0497ebb5ee74f0dcec9caf663eadf02ae5d22590fabed054888ab6f300627

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4f63b90a5d6019420eea43815f39e24130fa0e10e9c1e2cb8c0b9cd02eca4fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-07-09T17:51:07Z",
    "title_canon_sha256": "4e529a7eec3d4167c81da1bdd6aacabaa06736c274111f63ea4df093638f3cc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.08753",
    "kind": "arxiv",
    "version": 1
  }
}