Pith Number

pith:N7G4IHFB

pith:2011:N7G4IHFBF6Q4AAQS3DFJGZWCKH

not attested not anchored not stored refs pending

Quantum graph vertices with permutation-symmetric scattering probabilities

Ond\v{r}ej Turek, Taksu Cheon

arxiv:1108.0856 v2 · 2011-08-03 · math-ph · cond-mat.mes-hall · math.MP · 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{N7G4IHFBF6Q4AAQS3DFJGZWCKH}

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	2026-05-18T04:11:40.479886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fcdc41ca12fa1c00212d8ca9366c251f2e03c203db0ab1b7c66979f48f1a6ef

Aliases

arxiv: 1108.0856 · arxiv_version: 1108.0856v2 · doi: 10.48550/arxiv.1108.0856 · pith_short_12: N7G4IHFBF6Q4 · pith_short_16: N7G4IHFBF6Q4AAQS · pith_short_8: N7G4IHFB

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/N7G4IHFBF6Q4AAQS3DFJGZWCKH \
  | 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: 6fcdc41ca12fa1c00212d8ca9366c251f2e03c203db0ab1b7c66979f48f1a6ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db36c335094f8ae60c294528ef62bcfa53d60ea4b2cb12e86337162b1928969f",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-08-03T14:44:15Z",
    "title_canon_sha256": "aee7d28df29bf24b93a6155c17af3677fd7172baa6ade6d267e25d65df637515"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0856",
    "kind": "arxiv",
    "version": 2
  }
}