Pith Number

pith:OZCU3JVA

pith:2009:OZCU3JVAHQZUZZXEYZFSFSZHGS

not attested not anchored not stored refs pending

Grand Ensembles of deterministic operators. II. Localization for generic `haarsh' potentials

Victor Chulaevsky

arxiv:0907.1494 v4 · 2009-07-09 · math-ph · 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{OZCU3JVAHQZUZZXEYZFSFSZHGS}

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	2026-05-18T03:17:25.240097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76454da6a03c334ce6e4c64b22cb2734bb89b4ca0cd9774f24d363c0459ac4cc

Aliases

arxiv: 0907.1494 · arxiv_version: 0907.1494v4 · doi: 10.48550/arxiv.0907.1494 · pith_short_12: OZCU3JVAHQZU · pith_short_16: OZCU3JVAHQZUZZXE · pith_short_8: OZCU3JVA

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/OZCU3JVAHQZUZZXEYZFSFSZHGS \
  | 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: 76454da6a03c334ce6e4c64b22cb2734bb89b4ca0cd9774f24d363c0459ac4cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5975c518fc5794c1e90948d6adc739b92623c08c0301d57a9599ee487d2966ea",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-07-09T10:36:47Z",
    "title_canon_sha256": "9f29a800a2700a2c54da7a39fa8f5e98c425e6622cebfcf7abb46d6ba88ac1b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.1494",
    "kind": "arxiv",
    "version": 4
  }
}