Pith Number

pith:FZK2FTCK

pith:2010:FZK2FTCK2V7LOP5KTGY7JIQLLH

not attested not anchored not stored refs pending

The complex universe: recent observations and theoretical challenges

Francesco Sylos Labini, Luciano Pietronero

arxiv:1012.5624 v1 · 2010-12-27 · astro-ph.CO · 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{FZK2FTCK2V7LOP5KTGY7JIQLLH}

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	2026-05-18T02:04:17.447640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e55a2cc4ad57eb73faa99b1f4a20b59d3f0fd5fae8ce7a5b7339c147dfe8cc6

Aliases

arxiv: 1012.5624 · arxiv_version: 1012.5624v1 · doi: 10.48550/arxiv.1012.5624 · pith_short_12: FZK2FTCK2V7L · pith_short_16: FZK2FTCK2V7LOP5K · pith_short_8: FZK2FTCK

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/FZK2FTCK2V7LOP5KTGY7JIQLLH \
  | 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: 2e55a2cc4ad57eb73faa99b1f4a20b59d3f0fd5fae8ce7a5b7339c147dfe8cc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74049e6b2a331179f3aec3cec54ef34aa38a2f55a950ca3f2b7dbeb7c672b843",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-12-27T15:22:33Z",
    "title_canon_sha256": "f282b297d5d2f03b55f6440cd7d1f6dc55ae04c853067eaea071dcb39db98ac7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5624",
    "kind": "arxiv",
    "version": 1
  }
}