Pith Number

pith:FQY5TP5N

pith:1998:FQY5TP5NXKHUPTE66DROC3YQVY

not attested not anchored not stored refs pending

Kirchhoff's Rule for Quantum Wires

Robert Schrader, Vadim Kostrykin

arxiv:math-ph/9806013 v2 · 1998-06-18 · math-ph · math.MP · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FQY5TP5NXKHUPTE66DROC3YQVY}

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	2026-07-04T14:34:08.032597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c31d9bfadba8f47cc9ef0e2e16f10ae0d12a6236f62795702563e68b2a3b25f

Aliases

arxiv: math-ph/9806013 · arxiv_version: math-ph/9806013v2 · doi: 10.48550/arxiv.math-ph/9806013 · pith_short_12: FQY5TP5NXKHU · pith_short_16: FQY5TP5NXKHUPTE6 · pith_short_8: FQY5TP5N

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/FQY5TP5NXKHUPTE66DROC3YQVY \
  | 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: 2c31d9bfadba8f47cc9ef0e2e16f10ae0d12a6236f62795702563e68b2a3b25f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "261ad5743d16c89a493737103d37b966ec2833c5f85ca6cbd5d89c224328c532",
    "cross_cats_sorted": [
      "math.MP",
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "1998-06-18T22:33:25Z",
    "title_canon_sha256": "2093c7906d04a4a1cf38ca681fa7c0131d5bfd775f0d70d526e05e62fba41393"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/9806013",
    "kind": "arxiv",
    "version": 2
  }
}