Pith Number

pith:UPJB3FT2

pith:2003:UPJB3FT2ZF6KRA6TW2N7TA2QZN

not attested not anchored not stored refs pending

Dark Energy as a Modification of the Friedmann Equation

Gia Dvali, Michael S. Turner

arxiv:astro-ph/0301510 v1 · 2003-01-25 · 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{UPJB3FT2ZF6KRA6TW2N7TA2QZN}

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	2026-07-04T14:12:33.999881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3d21d967ac97ca883d3b69bf98350cb67b3768f89d2f113676370d3d2894a3b

Aliases

arxiv: astro-ph/0301510 · arxiv_version: astro-ph/0301510v1 · doi: 10.48550/arxiv.astro-ph/0301510 · pith_short_12: UPJB3FT2ZF6K · pith_short_16: UPJB3FT2ZF6KRA6T · pith_short_8: UPJB3FT2

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/UPJB3FT2ZF6KRA6TW2N7TA2QZN \
  | 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: a3d21d967ac97ca883d3b69bf98350cb67b3768f89d2f113676370d3d2894a3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37ccbba8f54699f7977d336aeb19fb7342a7c7fa3b12aea96273267b30a11cb2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2003-01-25T00:34:08Z",
    "title_canon_sha256": "065de0343f9acec1bfe3796a9f8826067db6e563ab72761146e137e148859935"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0301510",
    "kind": "arxiv",
    "version": 1
  }
}