Pith Number

pith:B5UEHLVN

pith:2001:B5UEHLVNW47G5AA7NUXCTKBAQJ

not attested not anchored not stored refs pending

The Gutzwiller Trace Formula for Quantum Systems with Spin

Jens Bolte

arxiv:nlin/0104028 v1 · 2001-04-10 · 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{B5UEHLVNW47G5AA7NUXCTKBAQJ}

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	2026-07-04T14:41:38.592238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f6843aeadb73e6e801f6d2e29a82082418c8f46238ad205f0b366d404642def

Aliases

arxiv: nlin/0104028 · arxiv_version: nlin/0104028v1 · doi: 10.48550/arxiv.nlin/0104028 · pith_short_12: B5UEHLVNW47G · pith_short_16: B5UEHLVNW47G5AA7 · pith_short_8: B5UEHLVN

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/B5UEHLVNW47G5AA7NUXCTKBAQJ \
  | 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: 0f6843aeadb73e6e801f6d2e29a82082418c8f46238ad205f0b366d404642def

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a54d000ebede6bdeb5295cd146b77df825182aeaadf957d0c6f0a6f7af456054",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "nlin.CD",
    "submitted_at": "2001-04-10T09:18:20Z",
    "title_canon_sha256": "f16b11ceebdd635d589a6f053b96e71f0f12b8dc58853d152ed03856a8b32e80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "nlin/0104028",
    "kind": "arxiv",
    "version": 1
  }
}