Pith Number

pith:3U7CGA3K

pith:2001:3U7CGA3KR3W3BSKQYBLJ65PIBL

not attested not anchored not stored refs pending

Determinism in Free Bosons

Gerard 't Hooft (Utrecht)

arxiv:hep-th/0104080 v2 · 2001-04-09 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3U7CGA3KR3W3BSKQYBLJ65PIBL}

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

Minimal Proper Time and Deterministic Microstates: Emergent Quantum Fields and Relativistic Spacetime

Receipt and verification

First computed	2026-07-04T14:31:30.440143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd3e23036a8eedb0c950c0569f75e80af6f286362d26b87b317eb1ff78260c94

Aliases

arxiv: hep-th/0104080 · arxiv_version: hep-th/0104080v2 · doi: 10.48550/arxiv.hep-th/0104080 · pith_short_12: 3U7CGA3KR3W3 · pith_short_16: 3U7CGA3KR3W3BSKQ · pith_short_8: 3U7CGA3K

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/3U7CGA3KR3W3BSKQYBLJ65PIBL \
  | 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: dd3e23036a8eedb0c950c0569f75e80af6f286362d26b87b317eb1ff78260c94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5545f511d67ced8628c2c7957194a8257911b38b44b2679823ab0d1ad07777a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2001-04-09T15:29:31Z",
    "title_canon_sha256": "64a518b1f815175967f62e16e3a2032a8d92ede87c4f17d0e52ffc590255aa98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0104080",
    "kind": "arxiv",
    "version": 2
  }
}