Pith Number

pith:ZX5LP77R

pith:2006:ZX5LP77RHJOMHYTUMXBRGKPJKD

not attested not anchored not stored refs pending

The Selberg trace formula for Dirac operators

Hans-Michael Stiepan, Jens Bolte

arxiv:math-ph/0607010 v1 · 2006-07-07 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZX5LP77RHJOMHYTUMXBRGKPJKD}

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	2026-07-04T14:58:44.066210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdfab7fff13a5cc3e27465c31329e950fceff33afcd6e00f26a2038e4fa91608

Aliases

arxiv: math-ph/0607010 · arxiv_version: math-ph/0607010v1 · doi: 10.48550/arxiv.math-ph/0607010 · pith_short_12: ZX5LP77RHJOM · pith_short_16: ZX5LP77RHJOMHYTU · pith_short_8: ZX5LP77R

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/ZX5LP77RHJOMHYTUMXBRGKPJKD \
  | 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: cdfab7fff13a5cc3e27465c31329e950fceff33afcd6e00f26a2038e4fa91608

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bae12415b8243327a6781612d166c69e32dbbb37204dbd2f982d02013aefba69",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2006-07-07T13:44:38Z",
    "title_canon_sha256": "4af8214ce0eb624b32b88df5a3b7065ca0b3ac4e02d8a5943b826111b24399aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0607010",
    "kind": "arxiv",
    "version": 1
  }
}