Pith Number

pith:FR73Z5D5

pith:2013:FR73Z5D5KC2K6VR3DANU6BTET6

not attested not anchored not stored refs pending

The dark matter of galaxy voids

Benjamin D. Wandelt, David H. Weinberg, Guilhem Lavaux, Michael S. Warren, P. M. Sutter

arxiv:1311.3301 v3 · 2013-11-13 · 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{FR73Z5D5KC2K6VR3DANU6BTET6}

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	2026-05-18T01:46:31.348077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c7fbcf47d50b4af563b181b4f06649f9e4e2663a3363889d8758c6c94852ba0

Aliases

arxiv: 1311.3301 · arxiv_version: 1311.3301v3 · doi: 10.48550/arxiv.1311.3301 · pith_short_12: FR73Z5D5KC2K · pith_short_16: FR73Z5D5KC2K6VR3 · pith_short_8: FR73Z5D5

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/FR73Z5D5KC2K6VR3DANU6BTET6 \
  | 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: 2c7fbcf47d50b4af563b181b4f06649f9e4e2663a3363889d8758c6c94852ba0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcd1ef9910ee4d9084c917e28ab48928838fa0eefa5ecd04d87cd92909640641",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-11-13T21:00:03Z",
    "title_canon_sha256": "7165104436af49a596034f69280e0024c658ea50757e4156698723915845cca6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3301",
    "kind": "arxiv",
    "version": 3
  }
}