Pith Number

pith:4VMHEWT3

pith:2008:4VMHEWT3CR6SW5LBA2GQOSYSVT

not attested not anchored not stored refs pending

A brief note on the spectrum of the basic Dirac operator

Georges Habib (MPI-MIS), Ken Richardson

arxiv:0809.2406 v1 · 2008-09-14 · 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{4VMHEWT3CR6SW5LBA2GQOSYSVT}

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	2026-05-18T02:58:11.185950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e558725a7b147d2b7561068d074b12accc6480b813014e2af6141c8ee95466d7

Aliases

arxiv: 0809.2406 · arxiv_version: 0809.2406v1 · doi: 10.48550/arxiv.0809.2406 · pith_short_12: 4VMHEWT3CR6S · pith_short_16: 4VMHEWT3CR6SW5LB · pith_short_8: 4VMHEWT3

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/4VMHEWT3CR6SW5LBA2GQOSYSVT \
  | 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: e558725a7b147d2b7561068d074b12accc6480b813014e2af6141c8ee95466d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ede0745b901d07b95adbd649597ea6cde62bcf258cf15ffd2b6e5aaf93069771",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-09-14T16:39:54Z",
    "title_canon_sha256": "6a3fc8dafa49b2fcedea62e4d0c00a5178e53ab9a02eb838f6d6653cd39b997d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.2406",
    "kind": "arxiv",
    "version": 1
  }
}