Pith Number

pith:BGY2XR4P

pith:2010:BGY2XR4PO3EHKR7PO7SGUW6PDK

not attested not anchored not stored refs pending

Revisit of cosmic age problem

Miao Li, Shuang Wang, Xiao-Dong Li

arxiv:1005.4345 v4 · 2010-05-24 · astro-ph.CO · 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{BGY2XR4PO3EHKR7PO7SGUW6PDK}

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	2026-05-18T04:34:00.063535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09b1abc78f76c87547ef77e46a5bcf1ab17070c0201db9cd4adbf4ffde913e5c

Aliases

arxiv: 1005.4345 · arxiv_version: 1005.4345v4 · doi: 10.48550/arxiv.1005.4345 · pith_short_12: BGY2XR4PO3EH · pith_short_16: BGY2XR4PO3EHKR7P · pith_short_8: BGY2XR4P

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/BGY2XR4PO3EHKR7PO7SGUW6PDK \
  | 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: 09b1abc78f76c87547ef77e46a5bcf1ab17070c0201db9cd4adbf4ffde913e5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "612c926db33e3765f81bc2c1db3051eba357c251367ee7c8d42d570c384344ad",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-05-24T14:56:31Z",
    "title_canon_sha256": "b8cb6e54ea59e0e2fc57def8e6bc9ce665d4a25ebaee42d8f77080a964f2c3e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.4345",
    "kind": "arxiv",
    "version": 4
  }
}