Pith Number

pith:ZFGVRKKG

pith:2007:ZFGVRKKGRMEB4KCQSNPSDZVTMI

not attested not anchored not stored refs pending

Resumming Cosmic Perturbations

Massimo Pietroni, Sabino Matarrese

arxiv:astro-ph/0703563 v2 · 2007-03-21 · astro-ph · hep-ph · 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{ZFGVRKKGRMEB4KCQSNPSDZVTMI}

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.

Cited by

1 paper in Pith

Two-loop renormalization and running of galaxy bias

Receipt and verification

First computed	2026-05-18T04:38:38.510953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c94d58a9468b081e2850935f21e6b3621ef2fadd078250bf8761e8d8f7a5d1d7

Aliases

arxiv: astro-ph/0703563 · arxiv_version: astro-ph/0703563v2 · doi: 10.48550/arxiv.astro-ph/0703563 · pith_short_12: ZFGVRKKGRMEB · pith_short_16: ZFGVRKKGRMEB4KCQ · pith_short_8: ZFGVRKKG

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/ZFGVRKKGRMEB4KCQSNPSDZVTMI \
  | 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: c94d58a9468b081e2850935f21e6b3621ef2fadd078250bf8761e8d8f7a5d1d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c61a1ec28ab70d475e584b3d05f565bf723e839271b5f730d6b8da3f792916e8",
    "cross_cats_sorted": [
      "hep-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2007-03-21T16:02:44Z",
    "title_canon_sha256": "fac72a73f187dae239dca45340b4e90e735dd9f882334c190099d421bc4f5ce2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0703563",
    "kind": "arxiv",
    "version": 2
  }
}