Pith Number

pith:COJDXCHB

pith:2004:COJDXCHBX7XD46SEBKRR2BJPVK

not attested not anchored not stored refs pending

Deflection of light and particles by moving gravitational lenses

Olaf Wucknitz (Universitaet Potsdam), Ulrich Sperhake (Penn State University)

arxiv:astro-ph/0401362 v1 · 2004-01-19 · 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{COJDXCHBX7XD46SEBKRR2BJPVK}

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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

Leading-order gravitational time delay of massive particles by a moving Schwarzschild lens

Receipt and verification

First computed	2026-07-04T14:13:17.697672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13923b88e1bfee3e7a440aa31d052faaac704aae2b68a09ae3d702b659e42319

Aliases

arxiv: astro-ph/0401362 · arxiv_version: astro-ph/0401362v1 · doi: 10.48550/arxiv.astro-ph/0401362 · pith_short_12: COJDXCHBX7XD · pith_short_16: COJDXCHBX7XD46SE · pith_short_8: COJDXCHB

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/COJDXCHBX7XD46SEBKRR2BJPVK \
  | 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: 13923b88e1bfee3e7a440aa31d052faaac704aae2b68a09ae3d702b659e42319

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86ea0fe065ea8404045b230c0518a53a4272060aefd256824ed7786a6b87d834",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2004-01-19T13:05:57Z",
    "title_canon_sha256": "e62f040491bc547a0d166cfca33862e710a2b294fc10deae8cb0f621920a2a27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0401362",
    "kind": "arxiv",
    "version": 1
  }
}