Pith Number

pith:YEZ6QKI5

pith:2012:YEZ6QKI573FRJ6PENF47HQNCPD

not attested not anchored not stored refs pending

Levinson's theorem for graphs II

Andrew M. Childs, David Gosset

arxiv:1203.6557 v2 · 2012-03-29 · math-ph · 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{YEZ6QKI573FRJ6PENF47HQNCPD}

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	2026-05-18T03:40:16.221480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c133e8291dfecb14f9e46979f3c1a278f3264f45ea733b06dbf2c1507caa2826

Aliases

arxiv: 1203.6557 · arxiv_version: 1203.6557v2 · doi: 10.48550/arxiv.1203.6557 · pith_short_12: YEZ6QKI573FR · pith_short_16: YEZ6QKI573FRJ6PE · pith_short_8: YEZ6QKI5

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/YEZ6QKI573FRJ6PENF47HQNCPD \
  | 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: c133e8291dfecb14f9e46979f3c1a278f3264f45ea733b06dbf2c1507caa2826

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69dbf268b59e4d0467a68e05a19624a12f2404a0231897d36a6bfe2883f3dd0c",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-03-29T15:21:27Z",
    "title_canon_sha256": "afe3837a87c9e9c14c9fdb6104622630d16e1cc94384ab6fb688dc2448197939"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6557",
    "kind": "arxiv",
    "version": 2
  }
}