Pith Number

pith:TH7EA4Q6

pith:2003:TH7EA4Q6SYHZEMOJMYDYD7QJBJ

not attested not anchored not stored refs pending

Future Type Ia Supernova Data as Tests of Dark Energy from Modified Friedmann Equations

Katherine Freese, Matthew Lewis, Paolo Gondolo, Yun Wang

arxiv:astro-ph/0302064 v2 · 2003-02-04 · astro-ph · hep-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{TH7EA4Q6SYHZEMOJMYDYD7QJBJ}

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	2026-07-04T16:36:26.274631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99fe40721e960f9231c9660781fe090a703828898e06f7a84a0752534f2c45e7

Aliases

arxiv: astro-ph/0302064 · arxiv_version: astro-ph/0302064v2 · doi: 10.48550/arxiv.astro-ph/0302064 · pith_short_12: TH7EA4Q6SYHZ · pith_short_16: TH7EA4Q6SYHZEMOJ · pith_short_8: TH7EA4Q6

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/TH7EA4Q6SYHZEMOJMYDYD7QJBJ \
  | 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: 99fe40721e960f9231c9660781fe090a703828898e06f7a84a0752534f2c45e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13c320572b4cc1b4f4971c3e6a3092986996f608235f8fc49d239a3c45b08dfb",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2003-02-04T21:14:50Z",
    "title_canon_sha256": "57227cb7908c2b8e4d854cde3502fb9e705756c7bbef91ad9c252b7a4b0cca9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0302064",
    "kind": "arxiv",
    "version": 2
  }
}