Pith Number

pith:ZZ4JJXSY

pith:1997:ZZ4JJXSYHL24EBAENAV3SCWZNT

not attested not anchored not stored refs pending

Bending of Light by Vector Perturbations

C. Wiegert, S. Dodelson

arxiv:astro-ph/9710080 v1 · 1997-10-08 · astro-ph · 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{ZZ4JJXSYHL24EBAENAV3SCWZNT}

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	2026-07-04T14:15:18.503711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce7894de583af5c20404682bb90ad96ce2540bfedc001ea4e7e24ebe9dfcf3c9

Aliases

arxiv: astro-ph/9710080 · arxiv_version: astro-ph/9710080v1 · doi: 10.48550/arxiv.astro-ph/9710080 · pith_short_12: ZZ4JJXSYHL24 · pith_short_16: ZZ4JJXSYHL24EBAE · pith_short_8: ZZ4JJXSY

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/ZZ4JJXSYHL24EBAENAV3SCWZNT \
  | 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: ce7894de583af5c20404682bb90ad96ce2540bfedc001ea4e7e24ebe9dfcf3c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34de74db91a7984041d7a0c27ed8f1a8e50c4cbc1f844b11e1f098d78ac52b1c",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1997-10-08T11:59:28Z",
    "title_canon_sha256": "947d92a5859c4191d34261fa13bb8b72caf5546cbdd85ac88516775a580abf9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9710080",
    "kind": "arxiv",
    "version": 1
  }
}