Pith Number

pith:BFXYHDPN

pith:2011:BFXYHDPNJBF3IXFORFK5O6ZQOD

not attested not anchored not stored refs pending

Less is Different: Emergence and Reduction Reconciled

Jeremy Butterfield

arxiv:1106.0702 v1 · 2011-06-03 · physics.hist-ph · cond-mat.stat-mech · quant-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{BFXYHDPNJBF3IXFORFK5O6ZQOD}

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	2026-05-18T04:20:39.669530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

096f838ded484bb45cae8955d77b3070ea1f4686dd782115bb29e3b118306d63

Aliases

arxiv: 1106.0702 · arxiv_version: 1106.0702v1 · doi: 10.48550/arxiv.1106.0702 · pith_short_12: BFXYHDPNJBF3 · pith_short_16: BFXYHDPNJBF3IXFO · pith_short_8: BFXYHDPN

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/BFXYHDPNJBF3IXFORFK5O6ZQOD \
  | 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: 096f838ded484bb45cae8955d77b3070ea1f4686dd782115bb29e3b118306d63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5a03d9a6ce2e954233d60811308af34ca657c2584ae17ac52a9aa690ef3e8c9",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.hist-ph",
    "submitted_at": "2011-06-03T16:22:33Z",
    "title_canon_sha256": "a1dd95c18c5e4fff10d7bde6d28b2c2ba7df75b647f26830ec0b2e62082d308a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0702",
    "kind": "arxiv",
    "version": 1
  }
}