Pith Number

pith:2QYVKMF7

pith:2017:2QYVKMF73QYD6LA5LM2UAHJJRN

not attested not anchored not stored refs pending

Reversing the irreversible: from limit cycles to emergent time symmetry

Lee Smolin, Marina Cort\^es

arxiv:1703.09696 v1 · 2017-03-27 · gr-qc · astro-ph.CO · nlin.AO · physics.class-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{2QYVKMF73QYD6LA5LM2UAHJJRN}

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	2026-05-18T00:25:45.656029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4315530bfdc303f2c1d5b35401d298b77957bb40c66cf8f8cdfa95b19c29ee7

Aliases

arxiv: 1703.09696 · arxiv_version: 1703.09696v1 · doi: 10.48550/arxiv.1703.09696 · pith_short_12: 2QYVKMF73QYD · pith_short_16: 2QYVKMF73QYD6LA5 · pith_short_8: 2QYVKMF7

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/2QYVKMF73QYD6LA5LM2UAHJJRN \
  | 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: d4315530bfdc303f2c1d5b35401d298b77957bb40c66cf8f8cdfa95b19c29ee7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ca6936b62cec52e1426ce47514f9d563d52da7bc9ad3b7cb8784018e7652a9e",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "nlin.AO",
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-03-27T18:00:10Z",
    "title_canon_sha256": "4673a972e21b25818ca4474b46b6606b7f0277e5753534a6911a87df8f919af9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.09696",
    "kind": "arxiv",
    "version": 1
  }
}