Pith Number

pith:X3T5TPHU

pith:2012:X3T5TPHUJBDZDAK73ZV4WW3VC5

not attested not anchored not stored refs pending

A sub-determinant approach for pseudo-orbit expansions of spectral determinants in quantum maps and quantum graphs

Daniel Waltner, Gregor Tanner, Klaus Richter, Sven Gnutzmann

arxiv:1209.3131 v2 · 2012-09-14 · nlin.CD · cond-mat.mes-hall

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X3T5TPHUJBDZDAK73ZV4WW3VC5}

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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	2026-05-18T03:22:17.384205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bee7d9bcf4484791815fde6bcb5b75175177fbce88c70dfeaa2459cae6d0d1b9

Aliases

arxiv: 1209.3131 · arxiv_version: 1209.3131v2 · doi: 10.48550/arxiv.1209.3131 · pith_short_12: X3T5TPHUJBDZ · pith_short_16: X3T5TPHUJBDZDAK7 · pith_short_8: X3T5TPHU

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/X3T5TPHUJBDZDAK73ZV4WW3VC5 \
  | 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: bee7d9bcf4484791815fde6bcb5b75175177fbce88c70dfeaa2459cae6d0d1b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "927e1c2d6ebf2307545916f75e1a3aade22cecb8c0e915385278e8adb274f965",
    "cross_cats_sorted": [
      "cond-mat.mes-hall"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2012-09-14T09:04:53Z",
    "title_canon_sha256": "cca3aa834c52fc08e8ccc24d6d13be3a5a26df29356f2d461f0ccba61b191fcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3131",
    "kind": "arxiv",
    "version": 2
  }
}