Pith Number

pith:5D4FM2UK

pith:2016:5D4FM2UKDUQLICKKIMTDQABDUL

not attested not anchored not stored refs pending

Noether theorems and quantum anomalies

John Gough, Oleg G. Smolyanov, Tudor S. Ratiu

arxiv:1608.02366 v1 · 2016-08-08 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5D4FM2UKDUQLICKKIMTDQABDUL}

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	2026-05-18T01:09:40.395378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8f8566a8a1d20b4094a4326380023a2c25a1ed23892a07c86925271ce212962

Aliases

arxiv: 1608.02366 · arxiv_version: 1608.02366v1 · doi: 10.48550/arxiv.1608.02366 · pith_short_12: 5D4FM2UKDUQL · pith_short_16: 5D4FM2UKDUQLICKK · pith_short_8: 5D4FM2UK

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/5D4FM2UKDUQLICKKIMTDQABDUL \
  | 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: e8f8566a8a1d20b4094a4326380023a2c25a1ed23892a07c86925271ce212962

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef69acbc9c574846964733d3ea334d58d02e017a27c50d83ed758726a2f3748f",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-08-08T09:54:06Z",
    "title_canon_sha256": "1077a52e848f0b7ca20f1c015e7f62c3cf23ec16cfef8da41caacc4d9dd863ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02366",
    "kind": "arxiv",
    "version": 1
  }
}