Pith Number

pith:I3FF4D3J

pith:2019:I3FF4D3JWWXCAI3GWWP3XRVQHW

not attested not anchored not stored refs pending

Generalized algebraic Morse inequalities and jet differentials

Benoit Cadorel (IECL)

arxiv:1912.03952 v1 · 2019-12-09 · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I3FF4D3JWWXCAI3GWWP3XRVQHW}

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.

Cited by

1 paper in Pith

Vanishing of Invariant 2-Jet Differentials and Improved Hyperbolicity Degree Bounds in Dimension Two

Receipt and verification

First computed	2026-07-05T00:24:50.524024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46ca5e0f69b5ae202366b59fbbc6b03d812604dd42fbb5fd12316af00726d20c

Aliases

arxiv: 1912.03952 · arxiv_version: 1912.03952v1 · doi: 10.48550/arxiv.1912.03952 · pith_short_12: I3FF4D3JWWXC · pith_short_16: I3FF4D3JWWXCAI3G · pith_short_8: I3FF4D3J

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/I3FF4D3JWWXCAI3GWWP3XRVQHW \
  | 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: 46ca5e0f69b5ae202366b59fbbc6b03d812604dd42fbb5fd12316af00726d20c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "517a9377da9379ed8e5e8b6bd0bc1918284bc0714177d18abdad48d4c7988258",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-12-09T10:27:09Z",
    "title_canon_sha256": "f8c3d9847ea00ff90f94a9aad24f818095806894fe862028dc70c6e2ead14d93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.03952",
    "kind": "arxiv",
    "version": 1
  }
}