Pith Number

pith:72CO34LD

pith:2026:72CO34LDFWLLSOC6T76EBNRHPD

not attested not anchored not stored refs pending

Gravitational-Electric Polarization as a Probe of Dark Matter and Modified Gravity

Nirupam Roy

arxiv:2606.30736 v1 · 2026-06-29 · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{72CO34LDFWLLSOC6T76EBNRHPD}

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	2026-07-01T00:17:15.387303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe84edf1632d96b9385e9ffc40b62778f627a1f659e2d3da3280b0ccec9e9113

Aliases

arxiv: 2606.30736 · arxiv_version: 2606.30736v1 · doi: 10.48550/arxiv.2606.30736 · pith_short_12: 72CO34LDFWLL · pith_short_16: 72CO34LDFWLLSOC6 · pith_short_8: 72CO34LD

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/72CO34LDFWLLSOC6T76EBNRHPD \
  | 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: fe84edf1632d96b9385e9ffc40b62778f627a1f659e2d3da3280b0ccec9e9113

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1e6bec2c38ea5d9da932e53a2b6be24535f29c540a51265b41a00a6b29851a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2026-06-29T18:00:05Z",
    "title_canon_sha256": "4ba4f3dcf4c54791575c662428a682f71aed78cda7eba20f2e73521b51e9b743"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30736",
    "kind": "arxiv",
    "version": 1
  }
}