Pith Number

pith:3PCHPSSS

pith:2007:3PCHPSSS5EILUJLEXWQBSU74GL

not attested not anchored not stored refs pending

Graphs, Quadratic Forms, and Quantum Codes

Andreas Klappenecker, Markus Grassl, Martin Roetteler

arxiv:quant-ph/0703112 v1 · 2007-03-13 · quant-ph · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3PCHPSSS5EILUJLEXWQBSU74GL}

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	2026-07-04T15:42:50.360458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbc477ca52e910ba2564bda01953fc32d9b0a1954d29226d3873cbd44a3c4287

Aliases

arxiv: quant-ph/0703112 · arxiv_version: quant-ph/0703112v1 · doi: 10.48550/arxiv.quant-ph/0703112 · pith_short_12: 3PCHPSSS5EIL · pith_short_16: 3PCHPSSS5EILUJLE · pith_short_8: 3PCHPSSS

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/3PCHPSSS5EILUJLEXWQBSU74GL \
  | 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: dbc477ca52e910ba2564bda01953fc32d9b0a1954d29226d3873cbd44a3c4287

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16e3b4b79c69ca884ffc71f2abfd5a335f6f5c9b12db5c1b5d4d24301218d83d",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-03-13T21:19:16Z",
    "title_canon_sha256": "121764accd4e87c72c6691f0fce9754c05ce8d32f980c5156f5b7b4d688f44e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0703112",
    "kind": "arxiv",
    "version": 1
  }
}