Pith Number

pith:W4ITPBL2

pith:2007:W4ITPBL266ORXAVR4HLM5ODG2T

not attested not anchored not stored refs pending

A Topos Foundation for Theories of Physics: I. Formal Languages for Physics

A. Doering, C.J. Isham

arxiv:quant-ph/0703060 v1 · 2007-03-07 · quant-ph · gr-qc · 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{W4ITPBL266ORXAVR4HLM5ODG2T}

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.

Cited by

1 paper in Pith

Topos-Theoretic Approaches to Quantum Theory

Receipt and verification

First computed	2026-07-04T15:31:51.821528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b71137857af79d1b82b1e1d6ceb866d4f45bb8ff80081988ea93eb3d96d8f9c1

Aliases

arxiv: quant-ph/0703060 · arxiv_version: quant-ph/0703060v1 · doi: 10.48550/arxiv.quant-ph/0703060 · pith_short_12: W4ITPBL266OR · pith_short_16: W4ITPBL266ORXAVR · pith_short_8: W4ITPBL2

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/W4ITPBL266ORXAVR4HLM5ODG2T \
  | 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: b71137857af79d1b82b1e1d6ceb866d4f45bb8ff80081988ea93eb3d96d8f9c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b71372d576f02718bccbaa5a4335d2ff179348ae89a0199705fad76b970f5d7",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-03-07T16:00:51Z",
    "title_canon_sha256": "e86ca58747a80ac7bb25f6b9f2ef9d76c8a5f0211056bd06d41b6dd4f6eada72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0703060",
    "kind": "arxiv",
    "version": 1
  }
}