Pith Number

pith:C727GYMT

pith:2012:C727GYMTU24PRFOZKPRUVRIDPO

not attested not anchored not stored refs pending

Discreteness and Determinism in Superstrings

Gerard 't Hooft

arxiv:1207.3612 v2 · 2012-07-16 · hep-th · gr-qc · 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{C727GYMTU24PRFOZKPRUVRIDPO}

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	2026-05-18T03:45:31.430389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17f5f36193a6b8f895d953e34ac5037b84e56c8985afccf36bd2690e091a4193

Aliases

arxiv: 1207.3612 · arxiv_version: 1207.3612v2 · doi: 10.48550/arxiv.1207.3612 · pith_short_12: C727GYMTU24P · pith_short_16: C727GYMTU24PRFOZ · pith_short_8: C727GYMT

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/C727GYMTU24PRFOZKPRUVRIDPO \
  | 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: 17f5f36193a6b8f895d953e34ac5037b84e56c8985afccf36bd2690e091a4193

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c64f2f98b601ad4f0804e7964339148ac82a242dbec266a1b5a665cb7609165c",
    "cross_cats_sorted": [
      "gr-qc",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-07-16T09:55:07Z",
    "title_canon_sha256": "dacf802f7f4b72b7d1f5d6430a0f96a7970326e6977fb7c8809e6fb5ca016fa0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3612",
    "kind": "arxiv",
    "version": 2
  }
}