Pith Number

pith:SQ52XUD7

pith:2010:SQ52XUD7ZNWZT2Z5XVA74NYBVZ

not attested not anchored not stored refs pending

Eigenvalue estimates for the Dirac operator and harmonic 1-forms of constant length

Andrei Moroianu (CMLS-EcolePolytechnique), Liviu Ornea (UNIBUC)

arxiv:1004.4807 v2 · 2010-04-27 · 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{SQ52XUD7ZNWZT2Z5XVA74NYBVZ}

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	2026-05-17T23:56:56.535432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

943babd07fcb6d99eb3dbd41fe3701ae7fae8341dd500e83c040077503af07d1

Aliases

arxiv: 1004.4807 · arxiv_version: 1004.4807v2 · doi: 10.48550/arxiv.1004.4807 · pith_short_12: SQ52XUD7ZNWZ · pith_short_16: SQ52XUD7ZNWZT2Z5 · pith_short_8: SQ52XUD7

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/SQ52XUD7ZNWZT2Z5XVA74NYBVZ \
  | 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: 943babd07fcb6d99eb3dbd41fe3701ae7fae8341dd500e83c040077503af07d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a87552ec898793114850267ff5bc1e64df1b9e6d88ebead35bc2766d0ecdb57d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-04-27T13:50:44Z",
    "title_canon_sha256": "98f97d2de75c32ce898882cf1295d36bf834b221476a6609d5ad2d5794d8dc89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.4807",
    "kind": "arxiv",
    "version": 2
  }
}