Pith Number

pith:VUBFYVD7

pith:2001:VUBFYVD7I2TML6BZXOYHRIEH4D

not attested not anchored not stored refs pending

How old is the Universe ? Setting new constraints on the age of the Universe

A. Melchiorri, I. Ferreras, J. Silk (Oxford)

arxiv:astro-ph/0105384 v1 · 2001-05-22 · 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{VUBFYVD7I2TML6BZXOYHRIEH4D}

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	2026-07-04T16:23:25.760426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad025c547f46a6c5f839bbb078a087e0f502588161829944d87d5507292c535a

Aliases

arxiv: astro-ph/0105384 · arxiv_version: astro-ph/0105384v1 · doi: 10.48550/arxiv.astro-ph/0105384 · pith_short_12: VUBFYVD7I2TM · pith_short_16: VUBFYVD7I2TML6BZ · pith_short_8: VUBFYVD7

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/VUBFYVD7I2TML6BZXOYHRIEH4D \
  | 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: ad025c547f46a6c5f839bbb078a087e0f502588161829944d87d5507292c535a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26f128273633d707a13a9da8e84cf42071933289b4e03a26f59ed0efcad2b61c",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2001-05-22T15:04:42Z",
    "title_canon_sha256": "88b9cf5d614117a1dd307d34caca8177e01ccb593d1d62488c5d8c1eab1252fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0105384",
    "kind": "arxiv",
    "version": 1
  }
}