Pith Number

pith:5B26ZF6R

pith:2021:5B26ZF6RLZYAPRWDUDUKBPQMWY

not attested not anchored not stored refs pending

Unified description of galactic dynamics and the cosmological constant

Andrea P. Sanna, Mariano Cadoni

arxiv:2101.07642 v2 · 2021-01-19 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5B26ZF6RLZYAPRWDUDUKBPQMWY}

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	2026-07-05T02:55:10.732890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e875ec97d15e7007c6c3a0e8a0be0cb60170494d7be363787c6e8f0cde068dfc

Aliases

arxiv: 2101.07642 · arxiv_version: 2101.07642v2 · doi: 10.48550/arxiv.2101.07642 · pith_short_12: 5B26ZF6RLZYA · pith_short_16: 5B26ZF6RLZYAPRWD · pith_short_8: 5B26ZF6R

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/5B26ZF6RLZYAPRWDUDUKBPQMWY \
  | 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: e875ec97d15e7007c6c3a0e8a0be0cb60170494d7be363787c6e8f0cde068dfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e703a76b37ea76b22122dcc69399add4c0a1165699b0111add8b57e20319ee0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-01-19T14:30:55Z",
    "title_canon_sha256": "0a8827d8a5d435984891c58b75eaa565ec81e84c333b4745ebe61d01482828d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.07642",
    "kind": "arxiv",
    "version": 2
  }
}