Pith Number

pith:4CTFFP6T

pith:2023:4CTFFP6TNJJUJSCUFOTHIUR6GD

not attested not anchored not stored refs pending

The true story of the Quantum Ergodic Theorem

Alexander Shnirelman

arxiv:2303.14611 v1 · 2023-03-26 · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4CTFFP6TNJJUJSCUFOTHIUR6GD}

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	2026-07-05T05:54:43.941280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0a652bfd36a5344c8542ba674523e30ea8b321177076b6f644c8460b5791795

Aliases

arxiv: 2303.14611 · arxiv_version: 2303.14611v1 · doi: 10.48550/arxiv.2303.14611 · pith_short_12: 4CTFFP6TNJJU · pith_short_16: 4CTFFP6TNJJUJSCU · pith_short_8: 4CTFFP6T

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/4CTFFP6TNJJUJSCUFOTHIUR6GD \
  | 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: e0a652bfd36a5344c8542ba674523e30ea8b321177076b6f644c8460b5791795

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32924f745d9abd9c7d25f0b526d33414c1f627dfda495b9cc5254dfba20ad7ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2023-03-26T03:17:03Z",
    "title_canon_sha256": "8ff39e05fc5cac29457890913416feea1cf70b434586647297b4cab5fe308843"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.14611",
    "kind": "arxiv",
    "version": 1
  }
}