Pith Number

pith:W76QVA62

pith:2021:W76QVA627KSZLBRLUXPWNC4WKT

not attested not anchored not stored refs pending

Elongated Gravity Sources as an Analytical Limit for Flat Galaxy Rotation Curves

Felipe J. Llanes-Estrada (Univ. Complutense de Madrid)

arxiv:2109.08505 v1 · 2021-09-16 · astro-ph.GA · 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{W76QVA627KSZLBRLUXPWNC4WKT}

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.

Cited by

1 paper in Pith

Fractional-Dimension Gravity and the Milky Way Galaxy

Receipt and verification

First computed	2026-07-05T03:15:53.761497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7fd0a83dafaa595862ba5df668b9654f3d480241d3968614d7fc47437571161

Aliases

arxiv: 2109.08505 · arxiv_version: 2109.08505v1 · doi: 10.48550/arxiv.2109.08505 · pith_short_12: W76QVA627KSZ · pith_short_16: W76QVA627KSZLBRL · pith_short_8: W76QVA62

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/W76QVA627KSZLBRLUXPWNC4WKT \
  | 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: b7fd0a83dafaa595862ba5df668b9654f3d480241d3968614d7fc47437571161

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76010e0d4d035c2bd996d0c84bff75786c9707a6603e72ae0e9efc3a2d78a654",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2021-09-16T16:08:41Z",
    "title_canon_sha256": "f3aaef269d2d8c61d2b1d59d715dca4285fd4741d31a313a3b2cde80fce03cf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.08505",
    "kind": "arxiv",
    "version": 1
  }
}