Pith Number

pith:O4N2OP4D

pith:2014:O4N2OP4DE7RP2WDEFFUB42FSLJ

not attested not anchored not stored refs pending

Spherical collapse for unified dark matter models

Hermano E. S. Velten, J\'ulio C. Fabris, Thiago R. P. Caram\^es

arxiv:1401.5608 v2 · 2014-01-22 · 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{O4N2OP4DE7RP2WDEFFUB42FSLJ}

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	2026-05-18T01:45:18.079227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

771ba73f8327e2fd586429681e68b25a500421988e4f9b9aef9952c729e52b62

Aliases

arxiv: 1401.5608 · arxiv_version: 1401.5608v2 · doi: 10.48550/arxiv.1401.5608 · pith_short_12: O4N2OP4DE7RP · pith_short_16: O4N2OP4DE7RP2WDE · pith_short_8: O4N2OP4D

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/O4N2OP4DE7RP2WDEFFUB42FSLJ \
  | 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: 771ba73f8327e2fd586429681e68b25a500421988e4f9b9aef9952c729e52b62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c89200fa318d638a28dc51d5d84040e83a69635e83295fd7891c1686a5cbea2",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2014-01-22T10:08:06Z",
    "title_canon_sha256": "a2579c5b4397b0240199e9247aae2a14857b29f006c5543874c214b53cfc188e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.5608",
    "kind": "arxiv",
    "version": 2
  }
}