Pith Number

pith:PG6EQOGD

pith:2023:PG6EQOGDORH6S32TE3VUNZLDQE

not attested not anchored not stored refs pending

Integrated perturbation theory for cosmological tensor fields. III. Projection effects

Takahiko Matsubara

arxiv:2304.13304 v3 · 2023-04-26 · 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{PG6EQOGDORH6S32TE3VUNZLDQE}

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	2026-07-05T09:09:16.923914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79bc4838c3744fe96f5326eb46e5638116546b7ed96c950e5f556366d194f72f

Aliases

arxiv: 2304.13304 · arxiv_version: 2304.13304v3 · doi: 10.48550/arxiv.2304.13304 · pith_short_12: PG6EQOGDORH6 · pith_short_16: PG6EQOGDORH6S32T · pith_short_8: PG6EQOGD

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/PG6EQOGDORH6S32TE3VUNZLDQE \
  | 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: 79bc4838c3744fe96f5326eb46e5638116546b7ed96c950e5f556366d194f72f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f68d344cc3d0448df7cadd217a2a73325d196c30ae9e8e6db2c7075f7b65821b",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2023-04-26T06:13:08Z",
    "title_canon_sha256": "9ffb37792822123ce5cfc10fb69be2e7125c2ebc8a04972bc819adb434eedfee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.13304",
    "kind": "arxiv",
    "version": 3
  }
}