Pith Number

pith:YOULNU3W

pith:2016:YOULNU3WSW47Y4BLNQFGXZZFI6

not attested not anchored not stored refs pending

A Fermi golden rule for quantum graphs

Maciej Zworski, Minjae Lee

arxiv:1602.04866 v1 · 2016-02-16 · math-ph · math.MP · math.SP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YOULNU3WSW47Y4BLNQFGXZZFI6}

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	2026-05-18T01:04:50.115797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3a8b6d37695b9fc702b6c0a6be7254784b96050dbb51959f8aa4d4a0ebcf01b

Aliases

arxiv: 1602.04866 · arxiv_version: 1602.04866v1 · doi: 10.48550/arxiv.1602.04866 · pith_short_12: YOULNU3WSW47 · pith_short_16: YOULNU3WSW47Y4BL · pith_short_8: YOULNU3W

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/YOULNU3WSW47Y4BLNQFGXZZFI6 \
  | 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: c3a8b6d37695b9fc702b6c0a6be7254784b96050dbb51959f8aa4d4a0ebcf01b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ba3b34e25d4b66a427adc1f0e52ce05422dbe58061a9165a3e07b50d348dad6",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-02-16T00:01:47Z",
    "title_canon_sha256": "bc1e4260d6d26de445170c9ef9011df3648255ac460b87c904b22253745f6e33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04866",
    "kind": "arxiv",
    "version": 1
  }
}