Pith Number

pith:LEJAFZQ4

pith:2002:LEJAFZQ4WI55RY3CJDZMCKXIU3

not attested not anchored not stored refs pending

Surgery and the Spectrum of the Dirac Operator

Christian Baer, Mattias Dahl

arxiv:math/0201195 v2 · 2002-01-21 · 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{LEJAFZQ4WI55RY3CJDZMCKXIU3}

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	2026-05-18T04:17:04.858464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

591202e61cb23bd8e36248f2c12ae8a6dc00d504bcebd0cd3c4a6828113ec39d

Aliases

arxiv: math/0201195 · arxiv_version: math/0201195v2 · doi: 10.48550/arxiv.math/0201195 · pith_short_12: LEJAFZQ4WI55 · pith_short_16: LEJAFZQ4WI55RY3C · pith_short_8: LEJAFZQ4

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/LEJAFZQ4WI55RY3CJDZMCKXIU3 \
  | 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: 591202e61cb23bd8e36248f2c12ae8a6dc00d504bcebd0cd3c4a6828113ec39d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd4739d231495787e657efb1539470e909bb0f25853d7dc370fdd854cb17a7e2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2002-01-21T12:33:48Z",
    "title_canon_sha256": "cfe61560ddcd9b840d9d39c5ccc0f40842d9d88350426507100be41d41d277ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0201195",
    "kind": "arxiv",
    "version": 2
  }
}