Pith Number

pith:J22KHJSE

pith:2005:J22KHJSEBVLNQPFGIJ72KIUIEC

not attested not anchored not stored refs pending

General Spectral Flow Formula for Fixed Maximal Domain

Bernhelm Booss-Bavnbek, Chaofeng Zhu

arxiv:math/0504125 v2 · 2005-04-07 · math.DG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J22KHJSEBVLNQPFGIJ72KIUIEC}

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	2026-05-18T02:50:32.722449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4eb4a3a6440d56d83ca6427fa5228820a78e24abae54c5b761e58d5a5ac7e0a6

Aliases

arxiv: math/0504125 · arxiv_version: math/0504125v2 · doi: 10.48550/arxiv.math/0504125 · pith_short_12: J22KHJSEBVLN · pith_short_16: J22KHJSEBVLNQPFG · pith_short_8: J22KHJSE

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/J22KHJSEBVLNQPFGIJ72KIUIEC \
  | 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: 4eb4a3a6440d56d83ca6427fa5228820a78e24abae54c5b761e58d5a5ac7e0a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "064eb3777fab2a32f79f2966bcad1e89498664a0bfd4c182db8207a48b43d469",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2005-04-07T05:30:14Z",
    "title_canon_sha256": "05f7fff4f33e1e92e7b01842f0b325fe0448135102889f52e0e4d26d48933e4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0504125",
    "kind": "arxiv",
    "version": 2
  }
}