Pith Number

pith:A34XSPY4

pith:2016:A34XSPY4TMIA53LKHHORIU22FX

not attested not anchored not stored refs pending

The Sard conjecture on Martinet surfaces

Andr\'e Belotto da Silva, Ludovic Rifford

arxiv:1608.04122 v1 · 2016-08-14 · math.DG · math.AG · 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{A34XSPY4TMIA53LKHHORIU22FX}

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	2026-05-18T00:10:32.493089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06f9793f1c9b100eed6a39dd14535a2df02e180a4c57a3d7a3e215f6e31479ed

Aliases

arxiv: 1608.04122 · arxiv_version: 1608.04122v1 · doi: 10.48550/arxiv.1608.04122 · pith_short_12: A34XSPY4TMIA · pith_short_16: A34XSPY4TMIA53LK · pith_short_8: A34XSPY4

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/A34XSPY4TMIA53LKHHORIU22FX \
  | 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: 06f9793f1c9b100eed6a39dd14535a2df02e180a4c57a3d7a3e215f6e31479ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06c4fd42cb480bdfb0f9b3727db8bdca59c19a275808503131402d0bbfa3db34",
    "cross_cats_sorted": [
      "math.AG",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-08-14T18:23:57Z",
    "title_canon_sha256": "9d338137616bdd2c38ecd0449ae3fb056070e27fb08521eea0f26932957afc36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04122",
    "kind": "arxiv",
    "version": 1
  }
}