Pith Number

pith:BZOBRPLZ

pith:2015:BZOBRPLZB4AD23HM33ZVZVQG5V

not attested not anchored not stored refs pending

Extending dualities to trialities deepens the foundations of dynamics

Lee Smolin

arxiv:1503.01424 v1 · 2015-03-04 · hep-th · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BZOBRPLZB4AD23HM33ZVZVQG5V}

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	2026-05-18T00:54:41.720428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e5c18bd790f003d6cecdef35cd606ed6230c11dac3e2d7213d98ca549620848

Aliases

arxiv: 1503.01424 · arxiv_version: 1503.01424v1 · doi: 10.48550/arxiv.1503.01424 · pith_short_12: BZOBRPLZB4AD · pith_short_16: BZOBRPLZB4AD23HM · pith_short_8: BZOBRPLZ

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/BZOBRPLZB4AD23HM33ZVZVQG5V \
  | 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: 0e5c18bd790f003d6cecdef35cd606ed6230c11dac3e2d7213d98ca549620848

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ff55292c88ae8c0d0ee33f4cad25eb086c8644357f7fbed8d1bb0f39b7ee753",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-03-04T19:16:22Z",
    "title_canon_sha256": "cc3ee7ae783c76fc0ee027fb221803305e3603e0bb9c8a68f04553bf1048efd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01424",
    "kind": "arxiv",
    "version": 1
  }
}