Pith Number

pith:ZSSWDLC7

pith:2015:ZSSWDLC7PFFBBCV4NCTNWIZDWA

not attested not anchored not stored refs pending

A Gutzwiller trace formula for large hermitian matrices

Jens Bolte, Sebastian Egger, Stefan Keppeler

arxiv:1512.05984 v3 · 2015-12-18 · math-ph · math.MP · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZSSWDLC7PFFBBCV4NCTNWIZDWA}

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	2026-05-18T00:36:14.498781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cca561ac5f794a108abc68a6db2323b000b1adaaee1c863509571ce12b4e3b0f

Aliases

arxiv: 1512.05984 · arxiv_version: 1512.05984v3 · doi: 10.48550/arxiv.1512.05984 · pith_short_12: ZSSWDLC7PFFB · pith_short_16: ZSSWDLC7PFFBBCV4 · pith_short_8: ZSSWDLC7

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/ZSSWDLC7PFFBBCV4NCTNWIZDWA \
  | 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: cca561ac5f794a108abc68a6db2323b000b1adaaee1c863509571ce12b4e3b0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88acb9480b9e69dad3fedacd1c9633ea0a909b4d80d2548a1325eee5d311ecd2",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-12-18T15:12:40Z",
    "title_canon_sha256": "3377979f75d4b0f16c0024846cacc63e631aacd0ab00167588394d507d31c792"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05984",
    "kind": "arxiv",
    "version": 3
  }
}