Pith Number

pith:7KLNLANO

pith:1998:7KLNLANOHPAC3N5KX3PKCH7OZB

not attested not anchored not stored refs pending

The fractal structure of the universe : a new field theory approach

F. Combes, H.J. de Vega, N. s\'anchez

arxiv:astro-ph/9801224 v1 · 1998-01-23 · astro-ph · gr-qc · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7KLNLANOHPAC3N5KX3PKCH7OZB}

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	2026-05-18T04:34:29.021169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa96d581ae3bc02db7aabedea11feec877f103ceefd9d24fa7241095f90c8612

Aliases

arxiv: astro-ph/9801224 · arxiv_version: astro-ph/9801224v1 · doi: 10.48550/arxiv.astro-ph/9801224 · pith_short_12: 7KLNLANOHPAC · pith_short_16: 7KLNLANOHPAC3N5K · pith_short_8: 7KLNLANO

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/7KLNLANOHPAC3N5KX3PKCH7OZB \
  | 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: fa96d581ae3bc02db7aabedea11feec877f103ceefd9d24fa7241095f90c8612

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d732d5dd97b63eb0bcf8bfb37d4ff992a17df36844ec02ea89b66d5bb1f7800c",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1998-01-23T14:35:32Z",
    "title_canon_sha256": "53cbe13f3fb0d8df63df0cb336c88ef8ff6ecdae955d3add93f3bbe4265585b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9801224",
    "kind": "arxiv",
    "version": 1
  }
}