Pith Number

pith:VO2OU3EK

pith:2003:VO2OU3EKWVCUM2ZYU737355PS3

not attested not anchored not stored refs pending

Spectral Invariants of Operators of Dirac Type on Partitioned Manifolds

Bernhelm Booss-Bavnbek, David Bleecker

arxiv:math/0304214 v1 · 2003-04-15 · math.AP · math.DG · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VO2OU3EKWVCUM2ZYU737355PS3}

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	2026-07-04T15:52:39.441207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abb4ea6c8ab545466b38a7f7fdf7af96e1686641c2054a5765b7045507ccae45

Aliases

arxiv: math/0304214 · arxiv_version: math/0304214v1 · doi: 10.48550/arxiv.math/0304214 · pith_short_12: VO2OU3EKWVCU · pith_short_16: VO2OU3EKWVCUM2ZY · pith_short_8: VO2OU3EK

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/VO2OU3EKWVCUM2ZYU737355PS3 \
  | 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: abb4ea6c8ab545466b38a7f7fdf7af96e1686641c2054a5765b7045507ccae45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4df20e27625e53237731c0c56915dc4aebebb8f372d5d04b5b0d9ee922b2a0a7",
    "cross_cats_sorted": [
      "math.DG",
      "math.SP"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2003-04-15T22:38:41Z",
    "title_canon_sha256": "88b2c88f29bdc1d9d914e5a7c3bc3100c8f2ed903a1c3282b5070770a348c11f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0304214",
    "kind": "arxiv",
    "version": 1
  }
}