Pith Number

pith:E2CTGMR3

pith:2012:E2CTGMR3TA6W42PCUG7BXICLCR

not attested not anchored not stored refs pending

Recognising Top-Down Causation

George F R Ellis

arxiv:1212.2275 v1 · 2012-12-09 · physics.class-ph · nlin.AO · physics.hist-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{E2CTGMR3TA6W42PCUG7BXICLCR}

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	2026-05-18T03:38:45.422185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

268533323b983d6e69e2a1be1ba04b1453b8ece0bc0fafae09ce232d925c1254

Aliases

arxiv: 1212.2275 · arxiv_version: 1212.2275v1 · doi: 10.48550/arxiv.1212.2275 · pith_short_12: E2CTGMR3TA6W · pith_short_16: E2CTGMR3TA6W42PC · pith_short_8: E2CTGMR3

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/E2CTGMR3TA6W42PCUG7BXICLCR \
  | 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: 268533323b983d6e69e2a1be1ba04b1453b8ece0bc0fafae09ce232d925c1254

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "097f5636346619947d4b1f6581e44b11ee4543ee90b413fe7efe788539e45e72",
    "cross_cats_sorted": [
      "nlin.AO",
      "physics.hist-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2012-12-09T16:08:29Z",
    "title_canon_sha256": "ddee396ebe280d137a298132c045e0a56b4cad1ad367e236b4eb7ca031f4b210"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2275",
    "kind": "arxiv",
    "version": 1
  }
}