Pith Number

pith:YYOLVEJW

pith:2019:YYOLVEJWJAMY2PI4JN2LQAIS4S

not attested not anchored not stored refs pending

Closed Kac-Rice type formulas on Riemannian manifolds

Beno\^it Jubin

arxiv:1901.01629 v1 · 2019-01-07 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YYOLVEJWJAMY2PI4JN2LQAIS4S}

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	2026-05-17T23:56:51.589833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c61cba913648198d3d1c4b74b80112e48b1ff43133d67b22aec3badd4ef07781

Aliases

arxiv: 1901.01629 · arxiv_version: 1901.01629v1 · doi: 10.48550/arxiv.1901.01629 · pith_short_12: YYOLVEJWJAMY · pith_short_16: YYOLVEJWJAMY2PI4 · pith_short_8: YYOLVEJW

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/YYOLVEJWJAMY2PI4JN2LQAIS4S \
  | 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: c61cba913648198d3d1c4b74b80112e48b1ff43133d67b22aec3badd4ef07781

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a54f0776d8d60b83bbc37c178ea441fc292448a32f0ff0727b488d97e81ba79",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-01-07T00:06:28Z",
    "title_canon_sha256": "b065049c4f722139da91b433e89f3d9fc0b717b78cb19c53cbf42e220d76198b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.01629",
    "kind": "arxiv",
    "version": 1
  }
}