Pith Number

pith:O3VZNTC2

pith:2010:O3VZNTC2G3PG5H4SBAB32XGHAN

not attested not anchored not stored refs pending

A spectral estimate for the Dirac operator on Riemannian flows

Georges Habib, Nicolas Ginoux

arxiv:1010.1107 v1 · 2010-10-06 · 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{O3VZNTC2G3PG5H4SBAB32XGHAN}

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	2026-05-18T04:39:49.800898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76eb96cc5a36de6e9f920803bd5cc7035a4c88742a133f2b097f0bed36eca779

Aliases

arxiv: 1010.1107 · arxiv_version: 1010.1107v1 · doi: 10.48550/arxiv.1010.1107 · pith_short_12: O3VZNTC2G3PG · pith_short_16: O3VZNTC2G3PG5H4S · pith_short_8: O3VZNTC2

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/O3VZNTC2G3PG5H4SBAB32XGHAN \
  | 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: 76eb96cc5a36de6e9f920803bd5cc7035a4c88742a133f2b097f0bed36eca779

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "927efa6256990d3c6ee75d24481f22e8d9197da3224e2de5df561b15827bd80e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-10-06T09:55:20Z",
    "title_canon_sha256": "6fe75c48c7bf7c348873e065530a739ea7fd6b9a008e81a8d7443a2e18987419"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1107",
    "kind": "arxiv",
    "version": 1
  }
}