Pith Number

pith:R3QKG5WE

pith:2026:R3QKG5WETZC7TN3XPSMZQGTR4O

not attested not anchored not stored refs pending

Fractal properties of the cosmic web

Jaan Einasto

arxiv:2608.04694 v1 · 2026-08-05 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R3QKG5WETZC7TN3XPSMZQGTR4O}

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	2026-08-06T01:46:31.134103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ee0a376c49e45f9b7777c99981a71e3be1d5895debb62777b8a098876932014

Aliases

arxiv: 2608.04694 · arxiv_version: 2608.04694v1 · doi: 10.48550/arxiv.2608.04694 · pith_short_12: R3QKG5WETZC7 · pith_short_16: R3QKG5WETZC7TN3X · pith_short_8: R3QKG5WE

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/R3QKG5WETZC7TN3XPSMZQGTR4O \
  | 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: 8ee0a376c49e45f9b7777c99981a71e3be1d5895debb62777b8a098876932014

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24582121cff28905f174a12f1796b52c4e958ae613e743ab6c6a500b2419efa0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-08-05T11:01:13Z",
    "title_canon_sha256": "5ef6d9595330788a8821d832a10782588ff04e12bd6a06dd9ede79db830a42ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.04694",
    "kind": "arxiv",
    "version": 1
  }
}