Pith Number

pith:FNVZWURB

pith:2012:FNVZWURBLUFZA3BHKACTM6OC35

not attested not anchored not stored refs pending

The intergalactic Newtonian gravitational field and the shell theorem

L. Zaninetti

arxiv:1301.0010 v1 · 2012-12-31 · 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{FNVZWURBLUFZA3BHKACTM6OC35}

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	2026-05-18T03:37:28.599260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b6b9b52215d0b906c2750053679c2df5a971935d0e61209577a5f86ba9fc31e

Aliases

arxiv: 1301.0010 · arxiv_version: 1301.0010v1 · doi: 10.48550/arxiv.1301.0010 · pith_short_12: FNVZWURBLUFZ · pith_short_16: FNVZWURBLUFZA3BH · pith_short_8: FNVZWURB

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/FNVZWURBLUFZA3BHKACTM6OC35 \
  | 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: 2b6b9b52215d0b906c2750053679c2df5a971935d0e61209577a5f86ba9fc31e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fccc8067fb5e6ed143e14c5abf7f28d3dd15647deeb9bf4a1c7341d9053e3dfc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-12-31T15:34:28Z",
    "title_canon_sha256": "0ecaf02d1904821dbfd48a2a8dd37f147017718ce2ea156401f4006cf92741f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0010",
    "kind": "arxiv",
    "version": 1
  }
}