Pith Number

pith:4DGBA2ZI

pith:2011:4DGBA2ZIJOJYKOBNAGJ32NJ3HZ

not attested not anchored not stored refs pending

Quantum points/patterns, Part 2. From quantum points to quantum patterns via multiresolution

Antonina N. Fedorova, Michael G. Zeitlin

arxiv:1109.5042 v1 · 2011-09-23 · quant-ph · math-ph · math.MP · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4DGBA2ZIJOJYKOBNAGJ32NJ3HZ}

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	2026-05-18T02:00:26.074463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0cc106b284b9385382d0193bd353b3e699951c19afe78ffd9f2016a2c25c0a7

Aliases

arxiv: 1109.5042 · arxiv_version: 1109.5042v1 · doi: 10.48550/arxiv.1109.5042 · pith_short_12: 4DGBA2ZIJOJY · pith_short_16: 4DGBA2ZIJOJYKOBN · pith_short_8: 4DGBA2ZI

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/4DGBA2ZIJOJYKOBNAGJ32NJ3HZ \
  | 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: e0cc106b284b9385382d0193bd353b3e699951c19afe78ffd9f2016a2c25c0a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5efd2c5dfe0af96cd2feb1955bf00d416248f2dc0a5c612a8596bdef500d6f32",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-09-23T11:59:20Z",
    "title_canon_sha256": "4d5372de38e0bba0432ce431683a8d3107f0d70bad993a3c6f256151aa6c32a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5042",
    "kind": "arxiv",
    "version": 1
  }
}