Pith Number

pith:6ZJS72HB

pith:1997:6ZJS72HBCYRUIQY76WUCJRFE4A

not attested not anchored not stored refs pending

On the Average Density of Galaxies

F. Sylos Labini, L. Pietronero, M. Montuori

arxiv:astro-ph/9709219 v1 · 1997-09-23 · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6ZJS72HBCYRUIQY76WUCJRFE4A}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:07:38.095658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6532fe8e1162344431ff5a824c4a4e0391890c29630a9940a841aa6cf94b9c1

Aliases

arxiv: astro-ph/9709219 · arxiv_version: astro-ph/9709219v1 · doi: 10.48550/arxiv.astro-ph/9709219 · pith_short_12: 6ZJS72HBCYRU · pith_short_16: 6ZJS72HBCYRUIQY7 · pith_short_8: 6ZJS72HB

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/6ZJS72HBCYRUIQY76WUCJRFE4A \
  | 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: f6532fe8e1162344431ff5a824c4a4e0391890c29630a9940a841aa6cf94b9c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d3525aacff9860e025ac1cbc1256c6279411892aef3e70702cac4838269750b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1997-09-23T10:57:10Z",
    "title_canon_sha256": "d27fa63da7c5310f526c9baae92277171fc3b237489b0171f34b5d32727ec71a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9709219",
    "kind": "arxiv",
    "version": 1
  }
}