Pith Number

pith:WRU3KBOJ

pith:2011:WRU3KBOJSSA6WRRIIZQQLXQVJV

not attested not anchored not stored refs pending

Sudden Future Singularity models as an alternative to Dark Energy?

Hoda Ghodsi, Mariusz P. Dabrowski, Martin A. Hendry, Tomasz Denkiewicz

arxiv:1101.3984 v4 · 2011-01-20 · 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{WRU3KBOJSSA6WRRIIZQQLXQVJV}

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	2026-05-18T02:22:50.915846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b469b505c99481eb4628466105de154d7847b91149ce1b755dccbc587b8926fe

Aliases

arxiv: 1101.3984 · arxiv_version: 1101.3984v4 · doi: 10.48550/arxiv.1101.3984 · pith_short_12: WRU3KBOJSSA6 · pith_short_16: WRU3KBOJSSA6WRRI · pith_short_8: WRU3KBOJ

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/WRU3KBOJSSA6WRRIIZQQLXQVJV \
  | 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: b469b505c99481eb4628466105de154d7847b91149ce1b755dccbc587b8926fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c8ccf0ad867fa48b72fc5917c789182b2c8f2efee06791eaedacf7282e39375",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-01-20T18:10:19Z",
    "title_canon_sha256": "9d13d229baeaac4aa1ce92b373e58c3d7f97c3468bb86d91e9d5bbc6682ba921"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3984",
    "kind": "arxiv",
    "version": 4
  }
}