Pith Number

pith:R4BVRBA6

pith:2011:R4BVRBA6YGPEIH5QSWGTA3VJIU

not attested not anchored not stored refs pending

Constraining A String Gauge Field by Galaxy Rotation Curves and Perihelion Precession of Planets

Feng Xu, Yeuk-Kwan E. Cheung

arxiv:1108.5459 v2 · 2011-08-27 · hep-th · astro-ph.GA · astro-ph.SR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R4BVRBA6YGPEIH5QSWGTA3VJIU}

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	2026-05-18T01:22:44.174451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f0358841ec19e441fb0958d306ea945004cff0d66905cbb9edd1034210d13a7

Aliases

arxiv: 1108.5459 · arxiv_version: 1108.5459v2 · doi: 10.48550/arxiv.1108.5459 · pith_short_12: R4BVRBA6YGPE · pith_short_16: R4BVRBA6YGPEIH5Q · pith_short_8: R4BVRBA6

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/R4BVRBA6YGPEIH5QSWGTA3VJIU \
  | 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: 8f0358841ec19e441fb0958d306ea945004cff0d66905cbb9edd1034210d13a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d89ce41ea38b6355a865846fdfee84889d8f1c5e9ce87fe3849ad9d606eeacfc",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "astro-ph.SR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-08-27T15:08:00Z",
    "title_canon_sha256": "16dec33ba4bc78e9d4b45f3089e45a2cbb46f8714a4a8744d50a590e91613605"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5459",
    "kind": "arxiv",
    "version": 2
  }
}