Pith Number

pith:2T6NPF5P

pith:2005:2T6NPF5P5FVHAKH7BP2Q745FM7

not attested not anchored not stored refs pending

Testing Gravity Against Early Time Integrated Sachs-Wolfe Effect

Pengjie Zhang (SHAO & Fermilab)

arxiv:astro-ph/0511218 v3 · 2005-11-08 · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2T6NPF5P5FVHAKH7BP2Q745FM7}

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

Preventing Curvature Singularities in $f(R)$ Dark Energy Models

Receipt and verification

First computed	2026-07-04T15:25:40.566439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4fcd797afe96a7028ff0bf50ff3a567c9b0eeb50de154330cfbcd93c5b0ec0f

Aliases

arxiv: astro-ph/0511218 · arxiv_version: astro-ph/0511218v3 · doi: 10.48550/arxiv.astro-ph/0511218 · pith_short_12: 2T6NPF5P5FVH · pith_short_16: 2T6NPF5P5FVHAKH7 · pith_short_8: 2T6NPF5P

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/2T6NPF5P5FVHAKH7BP2Q745FM7 \
  | 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: d4fcd797afe96a7028ff0bf50ff3a567c9b0eeb50de154330cfbcd93c5b0ec0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f73241eac3d9dec61d9b0440fa037dae1b1d66b0950a5bafcd901491714393ce",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2005-11-08T11:44:26Z",
    "title_canon_sha256": "3a3ecafebab012c77874fe8faf0443cd80ada321c65b292b9f084da780e4f2ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0511218",
    "kind": "arxiv",
    "version": 3
  }
}