Pith Number

pith:LRUAIKOT

pith:2012:LRUAIKOTVEFR5C7O4A3FOBMCZP

not attested not anchored not stored refs pending

Realigning random states

Guillaume Aubrun, Ion Nechita

arxiv:1203.3974 v1 · 2012-03-18 · math.PR · 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{LRUAIKOTVEFR5C7O4A3FOBMCZP}

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	2026-05-18T01:58:06.324257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c680429d3a90b1e8beee036570582cbf31cfef351bae1803b2dca886f767812

Aliases

arxiv: 1203.3974 · arxiv_version: 1203.3974v1 · doi: 10.48550/arxiv.1203.3974 · pith_short_12: LRUAIKOTVEFR · pith_short_16: LRUAIKOTVEFR5C7O · pith_short_8: LRUAIKOT

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/LRUAIKOTVEFR5C7O4A3FOBMCZP \
  | 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: 5c680429d3a90b1e8beee036570582cbf31cfef351bae1803b2dca886f767812

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db82fd8b9de54a61e51d5e5ad2a4f50c378bb549c7012b47b8fce306b7b9b8a2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-03-18T17:26:23Z",
    "title_canon_sha256": "dd449a80b36ca7092f21eacceeff75fd98716eee104e31f68d02a3b7bd9e8ccd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3974",
    "kind": "arxiv",
    "version": 1
  }
}