Pith Number

pith:X3NZJZ4B

pith:2010:X3NZJZ4BKWBNESNPIU6IZBCJ7C

not attested not anchored not stored refs pending

Measuring the 3D Clustering of Undetected Galaxies Through Cross Correlation of their Cumulative Flux Fluctuations from Multiple Spectral Lines

Abraham Loeb, Eli Visbal

arxiv:1008.3178 v2 · 2010-08-18 · 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{X3NZJZ4BKWBNESNPIU6IZBCJ7C}

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	2026-05-18T02:05:46.767942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bedb94e7815582d249af453c8c8449f8aa7e40f9710af711834b36efcca5d9f2

Aliases

arxiv: 1008.3178 · arxiv_version: 1008.3178v2 · doi: 10.48550/arxiv.1008.3178 · pith_short_12: X3NZJZ4BKWBN · pith_short_16: X3NZJZ4BKWBNESNP · pith_short_8: X3NZJZ4B

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/X3NZJZ4BKWBNESNPIU6IZBCJ7C \
  | 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: bedb94e7815582d249af453c8c8449f8aa7e40f9710af711834b36efcca5d9f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d62e00dc6cc60c55dd6c97fffd1238f0f856f933e797beff83ce8374132b313",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-08-18T21:45:57Z",
    "title_canon_sha256": "5017c5043c9e1b0e92745b89f67d236ddd0e099ee011a2b5f4896aa4c31fd988"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3178",
    "kind": "arxiv",
    "version": 2
  }
}