Pith Number

pith:I2GFARDN

pith:2000:I2GFARDNOMHVJ27M6OIT235APS

not attested not anchored not stored refs pending

Gauss Sums and Quantum Mechanics

Alice Rogers (King's College London), Vernon Armitage (University of Durham)

arxiv:quant-ph/0003107 v1 · 2000-03-22 · quant-ph · math-ph · math.MP · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I2GFARDNOMHVJ27M6OIT235APS}

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	2026-07-04T16:22:19.369372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

468c50446d730f54ebecf3913d6fa07c97f2175050d3cb4bff85321f60851cf1

Aliases

arxiv: quant-ph/0003107 · arxiv_version: quant-ph/0003107v1 · doi: 10.48550/arxiv.quant-ph/0003107 · pith_short_12: I2GFARDNOMHV · pith_short_16: I2GFARDNOMHVJ27M · pith_short_8: I2GFARDN

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/I2GFARDNOMHVJ27M6OIT235APS \
  | 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: 468c50446d730f54ebecf3913d6fa07c97f2175050d3cb4bff85321f60851cf1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a3416dfb09cbe8d17e362f02c152ee4cb47a0c0da2e09ee0a88ce0d40c927de",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.NT"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2000-03-22T18:41:42Z",
    "title_canon_sha256": "3c8ba6254bfdb2e89157ab4aed8db5f604a0e233fb38065f8e0d99956e7b1f97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0003107",
    "kind": "arxiv",
    "version": 1
  }
}