Pith Number

pith:ZPA2HH5Z

pith:2007:ZPA2HH5ZBBMTGRDZHKMX74NAQ2

not attested not anchored not stored refs pending

ISW effect in Unified Dark Matter Scalar Field Cosmologies: an analytical approach

Daniele Bertacca, INFN, Italy), Nicola Bartolo (Physics Dept., Padova

arxiv:0707.4247 v3 · 2007-07-28 · astro-ph · gr-qc · 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{ZPA2HH5ZBBMTGRDZHKMX74NAQ2}

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	2026-07-04T15:28:28.015890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbc1a39fb908593344793a997ff1a086a85471fdf56d941901cd7de85bce4195

Aliases

arxiv: 0707.4247 · arxiv_version: 0707.4247v3 · doi: 10.48550/arxiv.0707.4247 · pith_short_12: ZPA2HH5ZBBMT · pith_short_16: ZPA2HH5ZBBMTGRDZ · pith_short_8: ZPA2HH5Z

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/ZPA2HH5ZBBMTGRDZHKMX74NAQ2 \
  | 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: cbc1a39fb908593344793a997ff1a086a85471fdf56d941901cd7de85bce4195

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf7bb33d448ae10a5932097cc7c962340db43e46ae548eca183911602efa24b3",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2007-07-28T16:26:20Z",
    "title_canon_sha256": "e0c001ecb5065424d05e510a96538e24dad52e5392b1a7896dc3af3aec75d8ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.4247",
    "kind": "arxiv",
    "version": 3
  }
}