Pith Number

pith:3HIOHWBE

pith:2012:3HIOHWBEY2U6O4RM4UKJ2VZUDL

not attested not anchored not stored refs pending

The conceptual origins of gravitational lensing

David Valls-Gabaud

arxiv:1206.1165 v1 · 2012-06-06 · physics.hist-ph · astro-ph.CO · 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{3HIOHWBEY2U6O4RM4UKJ2VZUDL}

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

Taking Inventory of the Most Promising Lensed Radio Sources for Constraining Fundamental Properties of Dark Matter

Receipt and verification

First computed	2026-05-18T03:54:06.782267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9d0e3d824c6a9e7722ce5149d57341ac27289d82a08484e6d1db2b61208a208

Aliases

arxiv: 1206.1165 · arxiv_version: 1206.1165v1 · doi: 10.48550/arxiv.1206.1165 · pith_short_12: 3HIOHWBEY2U6 · pith_short_16: 3HIOHWBEY2U6O4RM · pith_short_8: 3HIOHWBE

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/3HIOHWBEY2U6O4RM4UKJ2VZUDL \
  | 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: d9d0e3d824c6a9e7722ce5149d57341ac27289d82a08484e6d1db2b61208a208

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a976fc46af2aeb2c3c958b26b5c231cf65da106ceda7d15d7687a1cd1c50565e",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.hist-ph",
    "submitted_at": "2012-06-06T09:57:34Z",
    "title_canon_sha256": "967e2080ad9de95b20196b53dab98f242876519fea565eac02fe5901c4788f0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1165",
    "kind": "arxiv",
    "version": 1
  }
}