Pith Number

pith:XFWNIAZX

pith:2011:XFWNIAZXIHQRG6H7AHFRJIEABV

not attested not anchored not stored refs pending

Emergence and Reduction Combined in Phase Transitions

Jeremy Butterfield, Nazim Bouatta

arxiv:1104.1371 v2 · 2011-04-07 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XFWNIAZXIHQRG6H7AHFRJIEABV}

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	2026-05-18T02:02:36.671058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b96cd4033741e11378ff01cb14a0800d4e6f4b4fdd1b24233ca56fa80e85ee52

Aliases

arxiv: 1104.1371 · arxiv_version: 1104.1371v2 · doi: 10.48550/arxiv.1104.1371 · pith_short_12: XFWNIAZXIHQR · pith_short_16: XFWNIAZXIHQRG6H7 · pith_short_8: XFWNIAZX

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/XFWNIAZXIHQRG6H7AHFRJIEABV \
  | 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: b96cd4033741e11378ff01cb14a0800d4e6f4b4fdd1b24233ca56fa80e85ee52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "258b13af484dec54dd18cd343fbe66f506cb959ab192a2e77b1bc9fa162f5be7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-04-07T16:23:43Z",
    "title_canon_sha256": "3cf79fb2c6c704b2ebb07b836fc0262e2d37e534419167c2720a019ed029eee2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1371",
    "kind": "arxiv",
    "version": 2
  }
}