Pith Number

pith:MHZVHDCK

pith:2003:MHZVHDCKM64OX6547G3VLLTGYS

not attested not anchored not stored refs pending

Power-law expansion in k-essence cosmology

Alexander Feinstein, Luis P. Chimento

arxiv:astro-ph/0305007 v2 · 2003-04-30 · astro-ph · gr-qc · 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{MHZVHDCKM64OX6547G3VLLTGYS}

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	2026-07-04T16:36:57.861388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61f3538c4a67b8ebfbbcf9b755ae66c4947307eafd8da37955a05433ec6d28f5

Aliases

arxiv: astro-ph/0305007 · arxiv_version: astro-ph/0305007v2 · doi: 10.48550/arxiv.astro-ph/0305007 · pith_short_12: MHZVHDCKM64O · pith_short_16: MHZVHDCKM64OX654 · pith_short_8: MHZVHDCK

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/MHZVHDCKM64OX6547G3VLLTGYS \
  | 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: 61f3538c4a67b8ebfbbcf9b755ae66c4947307eafd8da37955a05433ec6d28f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b34a829ee8be63a27e43f0ad179ce7e2a3fe1d9c2d2a1abcb015d6e98091acb9",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2003-04-30T22:32:03Z",
    "title_canon_sha256": "65f6942dd7fec0a5dfd34142b1f7e7cbca8594bfb45234b85f89f2b5879c467d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0305007",
    "kind": "arxiv",
    "version": 2
  }
}