Pith Number

pith:DJAWZHHB

pith:2011:DJAWZHHBV6WXIZGJRLSDG5I37F

not attested not anchored not stored refs pending

On the discrete spectrum of quantum layers

Julie Rowlett, Zhiqin Lu

arxiv:1110.6807 v3 · 2011-10-31 · math.SP · math-ph · math.DG · 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{DJAWZHHBV6WXIZGJRLSDG5I37F}

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	2026-05-18T03:40:38.706891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a416c9ce1afad7464c98ae433751bf96339fbb613a9010fccab47a52b341d87

Aliases

arxiv: 1110.6807 · arxiv_version: 1110.6807v3 · doi: 10.48550/arxiv.1110.6807 · pith_short_12: DJAWZHHBV6WX · pith_short_16: DJAWZHHBV6WXIZGJ · pith_short_8: DJAWZHHB

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/DJAWZHHBV6WXIZGJRLSDG5I37F \
  | 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: 1a416c9ce1afad7464c98ae433751bf96339fbb613a9010fccab47a52b341d87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbec973820eb27da86e293f14c8eebf08321d8562abb146fd289bcf9212510fd",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-10-31T14:32:58Z",
    "title_canon_sha256": "ff165c3b8224fa6c5b3900f64ebf4f0297ed264c837ba7803f3172fea35ba1bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6807",
    "kind": "arxiv",
    "version": 3
  }
}