Pith Number

pith:7L44HSM3

pith:2009:7L44HSM3YNT43ALXWG6WKXLOX6

not attested not anchored not stored refs pending

The age problem in $\Lambda$CDM model

Rong-Jia Yang, Shuang Nan Zhang

arxiv:0905.2683 v4 · 2009-05-16 · astro-ph.CO · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7L44HSM3YNT43ALXWG6WKXLOX6}

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	2026-05-18T04:29:43.020613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

faf9c3c99bc367cd8177b1bd655d6ebfba5c6ca5ba5f6d69662317a2d8b29783

Aliases

arxiv: 0905.2683 · arxiv_version: 0905.2683v4 · doi: 10.48550/arxiv.0905.2683 · pith_short_12: 7L44HSM3YNT4 · pith_short_16: 7L44HSM3YNT43ALX · pith_short_8: 7L44HSM3

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/7L44HSM3YNT43ALXWG6WKXLOX6 \
  | 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: faf9c3c99bc367cd8177b1bd655d6ebfba5c6ca5ba5f6d69662317a2d8b29783

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b3f8a5112646a94c7259d270bc264c596305389247fd695b2716eef86861943",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-05-16T13:29:45Z",
    "title_canon_sha256": "b9581026015ed1e5b06ee491721bca536f218b90f30d832b82a4318ecc1281c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.2683",
    "kind": "arxiv",
    "version": 4
  }
}