Pith Number

pith:557V3TO4

pith:2022:557V3TO4R4OYZOZCXQYC7P5BIA

not attested not anchored not stored refs pending

Integrated perturbation theory for cosmological tensor fields. II. Loop corrections

Takahiko Matsubara

arxiv:2210.11085 v4 · 2022-10-20 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{557V3TO4R4OYZOZCXQYC7P5BIA}

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	2026-07-05T09:09:16.480684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef7f5dcddc8f1d8cbb22bc302fbfa1402de567fc0c05b91662b511a354ded673

Aliases

arxiv: 2210.11085 · arxiv_version: 2210.11085v4 · doi: 10.48550/arxiv.2210.11085 · pith_short_12: 557V3TO4R4OY · pith_short_16: 557V3TO4R4OYZOZC · pith_short_8: 557V3TO4

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/557V3TO4R4OYZOZCXQYC7P5BIA \
  | 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: ef7f5dcddc8f1d8cbb22bc302fbfa1402de567fc0c05b91662b511a354ded673

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6934f94fe6d27af8c2aa675cdf076c39a7606ff9fac80b9ccdaa5284b9a1b2f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2022-10-20T08:23:47Z",
    "title_canon_sha256": "1d507e1b321256e0e5a8a35f8b90bcbf077bf272dc8909483dc4bdc672ad690f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.11085",
    "kind": "arxiv",
    "version": 4
  }
}