Pith Number

pith:QDADXUP7

pith:2026:QDADXUP7ZGVYJNY4DTN2KROHTG

not attested not anchored not stored refs pending

Absorption cross section of a Schwarzschild black hole for a massive vector field

Kaustubh Mukund Vispute, Rajesh Karmakar

arxiv:2606.13217 v1 · 2026-06-11 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QDADXUP7ZGVYJNY4DTN2KROHTG}

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	2026-06-12T01:09:47.134045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80c03bd1ffc9ab84b71c1cdba545c799836af7d5f197c1669e0320e482b69d84

Aliases

arxiv: 2606.13217 · arxiv_version: 2606.13217v1 · doi: 10.48550/arxiv.2606.13217 · pith_short_12: QDADXUP7ZGVY · pith_short_16: QDADXUP7ZGVYJNY4 · pith_short_8: QDADXUP7

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/QDADXUP7ZGVYJNY4DTN2KROHTG \
  | 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: 80c03bd1ffc9ab84b71c1cdba545c799836af7d5f197c1669e0320e482b69d84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b77f5fc5a377326e1c271fbe15b3f750f96be849ceacee5a8abb5e80ff2eec60",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-11T11:30:49Z",
    "title_canon_sha256": "b0cad65d468235486a848c0a9313b58a2599baf88b80525b13fc88481ff507a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13217",
    "kind": "arxiv",
    "version": 1
  }
}