Pith Number

pith:7G2US2W6

pith:2012:7G2US2W6IVXQV26KITE26GNWMT

not attested not anchored not stored refs pending

Galactic rotation curves in conformal gravity

James G. O'Brien, Philip D. Mannheim

arxiv:1211.0188 v1 · 2012-11-01 · astro-ph.CO · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7G2US2W6IVXQV26KITE26GNWMT}

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	2026-05-18T01:53:26.988731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9b5496ade456f0aebca44c9af19b664efff34c320248dc109053aecbb8990e4

Aliases

arxiv: 1211.0188 · arxiv_version: 1211.0188v1 · doi: 10.48550/arxiv.1211.0188 · pith_short_12: 7G2US2W6IVXQ · pith_short_16: 7G2US2W6IVXQV26K · pith_short_8: 7G2US2W6

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/7G2US2W6IVXQV26KITE26GNWMT \
  | 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: f9b5496ade456f0aebca44c9af19b664efff34c320248dc109053aecbb8990e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "699c0fa8cb98906fe8df9015ecbd30321174fd8772f03977befe208c5e96bec4",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-11-01T14:14:13Z",
    "title_canon_sha256": "68d747dd069473640ea9596085359b15bcc8623f0602ad47fad003c4f7921e29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0188",
    "kind": "arxiv",
    "version": 1
  }
}