Pith Number

pith:GCYP7I5O

pith:2009:GCYP7I5OJCNFQ67ZFQB6MMKIDN

not attested not anchored not stored refs pending

Tests of Gravity from Imaging and Spectroscopic Surveys

(2) IPMU, Bhuvnesh Jain (1), Jacek Guzik (1), Masahiro Takada (2) ((1) University of Pennsylvania, University of Tokyo)

arxiv:0906.2221 v1 · 2009-06-12 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GCYP7I5OJCNFQ67ZFQB6MMKIDN}

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

Gravitational Lensing by Black Holes in Einstein-nonlinear Electrodynamic Theories with Multiple Photon Spheres

Receipt and verification

First computed	2026-07-04T17:20:20.998408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30b0ffa3ae489a587bf92c03e631481b5c3379a45bae224beefd66e90ec19854

Aliases

arxiv: 0906.2221 · arxiv_version: 0906.2221v1 · doi: 10.48550/arxiv.0906.2221 · pith_short_12: GCYP7I5OJCNF · pith_short_16: GCYP7I5OJCNFQ67Z · pith_short_8: GCYP7I5O

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/GCYP7I5OJCNFQ67ZFQB6MMKIDN \
  | 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: 30b0ffa3ae489a587bf92c03e631481b5c3379a45bae224beefd66e90ec19854

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "490eb2ae19b5ac68f94fd39acab034675b9fdc1790ac6a7095f8975c78b369dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-06-12T19:08:16Z",
    "title_canon_sha256": "ce0bcfa27e076bf1c3bac5baa8ce0fa8f967f5da07a0d0131fdafd3263308fa0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.2221",
    "kind": "arxiv",
    "version": 1
  }
}