Pith Number

pith:GATNQV47

pith:2012:GATNQV47SK5ZPMJDNGLV23JTW7

not attested not anchored not stored refs pending

Weyl fluid dark matter model tested on the galactic scale by weak gravitational lensing

K. C. Wong, K. S. Cheng, L. \'A. Gergely, T. Harko

arxiv:1207.3167 v1 · 2012-07-13 · gr-qc · astro-ph.CO · 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{GATNQV47SK5ZPMJDNGLV23JTW7}

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	2026-05-18T01:56:24.082679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3026d8579f92bb97b12369975d6d33b7ce9841805e70331c8b7c48eb7a72c88d

Aliases

arxiv: 1207.3167 · arxiv_version: 1207.3167v1 · doi: 10.48550/arxiv.1207.3167 · pith_short_12: GATNQV47SK5Z · pith_short_16: GATNQV47SK5ZPMJD · pith_short_8: GATNQV47

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/GATNQV47SK5ZPMJDNGLV23JTW7 \
  | 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: 3026d8579f92bb97b12369975d6d33b7ce9841805e70331c8b7c48eb7a72c88d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "243d4167615cb08ef24abdef4919322874424682694d396dc6af301030876aa4",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-07-13T08:34:07Z",
    "title_canon_sha256": "96c9501bbc1ddfc754b1551127f91177b053a72d35482cb9ac9eff1295af1957"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3167",
    "kind": "arxiv",
    "version": 1
  }
}