Pith Number

pith:X2K7TEUQ

pith:2011:X2K7TEUQ3CUASU4AXHMAF4UMXW

not attested not anchored not stored refs pending

Testing microscopic discretization

David Perez-Garcia, Ignacio Villanueva, Miguel Navascues

arxiv:1110.2394 v3 · 2011-10-11 · quant-ph · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X2K7TEUQ3CUASU4AXHMAF4UMXW}

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	2026-05-18T02:00:13.733783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be95f99290d8a8095380b9d802f28cbd9e724765e3f71b7b71f79d5740a5b0e2

Aliases

arxiv: 1110.2394 · arxiv_version: 1110.2394v3 · doi: 10.48550/arxiv.1110.2394 · pith_short_12: X2K7TEUQ3CUA · pith_short_16: X2K7TEUQ3CUASU4A · pith_short_8: X2K7TEUQ

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/X2K7TEUQ3CUASU4AXHMAF4UMXW \
  | 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: be95f99290d8a8095380b9d802f28cbd9e724765e3f71b7b71f79d5740a5b0e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c11b5078c649c0ac4788b6ae8a431f9704f28f0a4067c85e6d5f187b49fde92",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-10-11T15:08:05Z",
    "title_canon_sha256": "1c9820eaddf0c4022843d562ae8ee50a494c310ca5973bca4f5efd5aaa7ffae6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2394",
    "kind": "arxiv",
    "version": 3
  }
}