Pith Number

pith:TYXDNQAN

pith:2010:TYXDNQANQAPLCHGWGAVXBC5BQR

not attested not anchored not stored refs pending

Voids as a Precision Probe of Dark Energy

Benjamin D. Wandelt, Esfandiar Alizadeh, Rahul Biswas

arxiv:1002.0014 v1 · 2010-01-30 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TYXDNQANQAPLCHGWGAVXBC5BQR}

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	2026-05-18T02:33:48.941694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e2e36c00d801eb11cd6302b708ba18468d56e1ded039057f052b1d12ebd3bb7

Aliases

arxiv: 1002.0014 · arxiv_version: 1002.0014v1 · doi: 10.48550/arxiv.1002.0014 · pith_short_12: TYXDNQANQAPL · pith_short_16: TYXDNQANQAPLCHGW · pith_short_8: TYXDNQAN

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/TYXDNQANQAPLCHGWGAVXBC5BQR \
  | 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: 9e2e36c00d801eb11cd6302b708ba18468d56e1ded039057f052b1d12ebd3bb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "daf960faef46fb6dcffb9c95feeb41cded051bcfbb0d9d0f1882a093dd39b330",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2010-01-30T00:03:30Z",
    "title_canon_sha256": "dce9826bcd99beb644bb01e4145bf0f48773f9d54c342dc8aa0a9d614e855d71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.0014",
    "kind": "arxiv",
    "version": 1
  }
}