Pith Number

pith:PBYYQRCX

pith:2017:PBYYQRCXXVAPBXFNTSEJ4MA6EL

not attested not anchored not stored refs pending

Gravitational lensing by wave dark matter halos

Alma X. Gonzalez-Morales, Antonio Herrera-Mart\'in, L. Arturo Ure\~na-L\'opez, Martin Hendry

arxiv:1707.09929 v2 · 2017-07-31 · 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{PBYYQRCXXVAPBXFNTSEJ4MA6EL}

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	2026-05-17T23:54:36.806791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7871884457bd40f0dcad9c889e301e22ce5b83e7ce897b0fb9a2d40b0a433ae8

Aliases

arxiv: 1707.09929 · arxiv_version: 1707.09929v2 · doi: 10.48550/arxiv.1707.09929 · pith_short_12: PBYYQRCXXVAP · pith_short_16: PBYYQRCXXVAPBXFN · pith_short_8: PBYYQRCX

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/PBYYQRCXXVAPBXFNTSEJ4MA6EL \
  | 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: 7871884457bd40f0dcad9c889e301e22ce5b83e7ce897b0fb9a2d40b0a433ae8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e929e9a2366ca90797dac3e184c6bc73956450d28410d3c777b0b224287ae5c2",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2017-07-31T15:55:10Z",
    "title_canon_sha256": "ff4cc7dd3506be25110ed9e38eb3edf8abfbe7ed32c386491399e3112b69c97b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.09929",
    "kind": "arxiv",
    "version": 2
  }
}