Pith Number

pith:MMT5WAL7

pith:2003:MMT5WAL7AXO47CXF3OEYG6DSBB

not attested not anchored not stored refs pending

On Deriving Space-Time From Quantum Observables and States

R.K. White, S.J. Summers

arxiv:hep-th/0304179 v2 · 2003-04-21 · hep-th · 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{MMT5WAL7AXO47CXF3OEYG6DSBB}

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

Spacetime granularity from finite-dimensionality of local observable algebras

Receipt and verification

First computed	2026-07-04T16:41:14.327294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6327db017f05ddcf8ae5db89837872085d1365dcf21556d418a5439dc732a18f

Aliases

arxiv: hep-th/0304179 · arxiv_version: hep-th/0304179v2 · doi: 10.48550/arxiv.hep-th/0304179 · pith_short_12: MMT5WAL7AXO4 · pith_short_16: MMT5WAL7AXO47CXF · pith_short_8: MMT5WAL7

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/MMT5WAL7AXO47CXF3OEYG6DSBB \
  | 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: 6327db017f05ddcf8ae5db89837872085d1365dcf21556d418a5439dc732a18f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97c2e938ef637185c07c8235a001ad44da9aa01aebecda7b76e8de2494a3e432",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2003-04-21T17:30:37Z",
    "title_canon_sha256": "0a07f088755d883b03f46d10fb4987b5ff9140fec80f82851be0d064a012b733"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0304179",
    "kind": "arxiv",
    "version": 2
  }
}