Pith Number

pith:VIK4IQ63

pith:2008:VIK4IQ63SEDJVXIVK5GJS5EPGL

not attested not anchored not stored refs pending

Resolving the universe with multifractals

Cristiano Sabiu, Luis Teodoro, Martin Hendry

arxiv:0803.3212 v1 · 2008-03-21 · astro-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{VIK4IQ63SEDJVXIVK5GJS5EPGL}

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	2026-05-18T04:36:41.367539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa15c443db91069add15574c99748f32d6ed11c10b333993f8ba55d3cd30449f

Aliases

arxiv: 0803.3212 · arxiv_version: 0803.3212v1 · doi: 10.48550/arxiv.0803.3212 · pith_short_12: VIK4IQ63SEDJ · pith_short_16: VIK4IQ63SEDJVXIV · pith_short_8: VIK4IQ63

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/VIK4IQ63SEDJVXIVK5GJS5EPGL \
  | 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: aa15c443db91069add15574c99748f32d6ed11c10b333993f8ba55d3cd30449f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "980e136b79397bc57f04ff08fe639736adbab43ca222ca52005dd30160f401ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph",
    "submitted_at": "2008-03-21T18:40:49Z",
    "title_canon_sha256": "337323ee991f585c34a62e0c9bdf0dc44fabd808eb4d6ef5ad4761e80d3a2a08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.3212",
    "kind": "arxiv",
    "version": 1
  }
}