Pith Number

pith:XYJY66GF

pith:2010:XYJY66GFY32CYUHU4S2Q7QEVSO

not attested not anchored not stored refs pending

Galactic rotation curves inspired by a noncommutative-geometry background

A. A. Usmani, F. Rahaman, K. Chakraborty, Peter K. F. Kuhfittig, Saibal Ray

arxiv:1011.1538 v2 · 2010-11-06 · 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{XYJY66GFY32CYUHU4S2Q7QEVSO}

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	2026-05-18T00:56:58.168668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be138f78c5c6f42c50f4e4b50fc09593a3fd5cd5f8562defe01a3ac72f4f69dd

Aliases

arxiv: 1011.1538 · arxiv_version: 1011.1538v2 · doi: 10.48550/arxiv.1011.1538 · pith_short_12: XYJY66GFY32C · pith_short_16: XYJY66GFY32CYUHU · pith_short_8: XYJY66GF

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/XYJY66GFY32CYUHU4S2Q7QEVSO \
  | 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: be138f78c5c6f42c50f4e4b50fc09593a3fd5cd5f8562defe01a3ac72f4f69dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52c8035d7ef27beca14c5bbce33c2c20b491cb7bfbaa556678d8a08f731ea4b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-11-06T05:41:21Z",
    "title_canon_sha256": "25073f7caeba737133081e98c676e2523a25ad53e7cf0cddc7885d0f992a771a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1538",
    "kind": "arxiv",
    "version": 2
  }
}