Pith Number

pith:ZWSPG3YW

pith:2003:ZWSPG3YW3WRALOCPGPZINGSYI6

not attested not anchored not stored refs pending

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

Andrei Moroianu, Liviu Ornea

arxiv:math/0305140 v2 · 2003-05-09 · 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{ZWSPG3YW3WRALOCPGPZINGSYI6}

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	2026-05-17T23:56:49.241859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cda4f36f16dda205b84f33f2869a5847af0e5c8f723738a48df4e6a7065f18dc

Aliases

arxiv: math/0305140 · arxiv_version: math/0305140v2 · doi: 10.48550/arxiv.math/0305140 · pith_short_12: ZWSPG3YW3WRA · pith_short_16: ZWSPG3YW3WRALOCP · pith_short_8: ZWSPG3YW

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/ZWSPG3YW3WRALOCPGPZINGSYI6 \
  | 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: cda4f36f16dda205b84f33f2869a5847af0e5c8f723738a48df4e6a7065f18dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3f9bfa081456836272a5b027c32799432031bccbd34ebe2ad39af3a7131bf9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2003-05-09T14:08:47Z",
    "title_canon_sha256": "98f97d2de75c32ce898882cf1295d36bf834b221476a6609d5ad2d5794d8dc89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0305140",
    "kind": "arxiv",
    "version": 2
  }
}