Pith Number

pith:7XKD7BAW

pith:2012:7XKD7BAWWPCXXYICSVHINU4YXV

not attested not anchored not stored refs pending

Duality between a deterministic cellular automaton and a bosonic quantum field theory in 1+1 dimensions

Gerard 't Hooft

arxiv:1205.4107 v2 · 2012-05-18 · quant-ph · 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{7XKD7BAWWPCXXYICSVHINU4YXV}

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	2026-05-18T02:22:30.306161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdd43f8416b3c57be102954e86d398bd5dd739396098c16249e2ea5ec2872c24

Aliases

arxiv: 1205.4107 · arxiv_version: 1205.4107v2 · doi: 10.48550/arxiv.1205.4107 · pith_short_12: 7XKD7BAWWPCX · pith_short_16: 7XKD7BAWWPCXXYIC · pith_short_8: 7XKD7BAW

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/7XKD7BAWWPCXXYICSVHINU4YXV \
  | 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: fdd43f8416b3c57be102954e86d398bd5dd739396098c16249e2ea5ec2872c24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06345d252205fe16050b30d4c745a9b12a8c3c597d25f8fbf23f63017037b9a7",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-05-18T08:07:51Z",
    "title_canon_sha256": "dc62dc782bbcd6f1b83b2d760578e0c7baf16fd2a893ff4a237bdf5745d84d2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4107",
    "kind": "arxiv",
    "version": 2
  }
}