Pith Number

pith:XDQQA45Y

pith:2005:XDQQA45YKIMNW46NN4I2A2PEOZ

not attested not anchored not stored refs pending

Trace Formulas in Connection with Scattering Theory for Quasi-Periodic Background

Gerald Teschl, Johanna Michor

arxiv:math/0506540 v1 · 2005-06-27 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XDQQA45YKIMNW46NN4I2A2PEOZ}

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	2026-05-18T01:31:53.781606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8e10073b85218db73cd6f11a069e47656a90763149d14f7503025d84c2d2f45

Aliases

arxiv: math/0506540 · arxiv_version: math/0506540v1 · doi: 10.48550/arxiv.math/0506540 · pith_short_12: XDQQA45YKIMN · pith_short_16: XDQQA45YKIMNW46N · pith_short_8: XDQQA45Y

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/XDQQA45YKIMNW46NN4I2A2PEOZ \
  | 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: b8e10073b85218db73cd6f11a069e47656a90763149d14f7503025d84c2d2f45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77ce67c3171ba2818c3ddb80651bc643b686f0b93e6c666627e8a4de916a116a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.SP",
    "submitted_at": "2005-06-27T13:22:39Z",
    "title_canon_sha256": "6e12b19af4d7b7e672aa508fa1cc714b17f89002f4aeb93dcea06d87d0a29284"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0506540",
    "kind": "arxiv",
    "version": 1
  }
}