Pith Number

pith:DO5D6JQJ

pith:2004:DO5D6JQJTDU44N7NBZJG6NDBFC

not attested not anchored not stored refs pending

Exponential map of a weak Riemannian Hilbert manifold

Leonardo Biliotti

arxiv:math/0402207 v2 · 2004-02-12 · 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{DO5D6JQJTDU44N7NBZJG6NDBFC}

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

chebgreen: Learning and Interpolating Continuous Empirical Green's Functions from Data

Receipt and verification

First computed	2026-07-04T14:49:43.435280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bba3f260998e9ce37ed0e526f346128a18d18c6afe691af065469f56d63d851

Aliases

arxiv: math/0402207 · arxiv_version: math/0402207v2 · doi: 10.48550/arxiv.math/0402207 · pith_short_12: DO5D6JQJTDU4 · pith_short_16: DO5D6JQJTDU44N7N · pith_short_8: DO5D6JQJ

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/DO5D6JQJTDU44N7NBZJG6NDBFC \
  | 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: 1bba3f260998e9ce37ed0e526f346128a18d18c6afe691af065469f56d63d851

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c6c482a227011fe8668122627982c8d6a69b1d297a381f560d4a9fcb43e9f1f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2004-02-12T17:03:20Z",
    "title_canon_sha256": "6c40e3eef6a677b227dd874ba56cae75cdaaf4deaa5e5e2836fd8891544178aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0402207",
    "kind": "arxiv",
    "version": 2
  }
}