Pith Number

pith:XP42SFSB

pith:2015:XP42SFSB7G3V72SHWCDISVD45C

not attested not anchored not stored refs pending

Einstein static universe on the brane supported by extended Chaplygin gas

F. Darabi, K. Atazadeh, Y. Heydarzade

arxiv:1511.03217 v2 · 2015-11-10 · 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{XP42SFSB7G3V72SHWCDISVD45C}

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	2026-05-18T01:11:25.215884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbf9a91641f9b75fea47b08689547ce8a5b26c1824fac4fafc9e834f32740bc5

Aliases

arxiv: 1511.03217 · arxiv_version: 1511.03217v2 · doi: 10.48550/arxiv.1511.03217 · pith_short_12: XP42SFSB7G3V · pith_short_16: XP42SFSB7G3V72SH · pith_short_8: XP42SFSB

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/XP42SFSB7G3V72SHWCDISVD45C \
  | 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: bbf9a91641f9b75fea47b08689547ce8a5b26c1824fac4fafc9e834f32740bc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfe2854f5099290c79544894f3f84f01d1a0e5c3f5b54f489fc61b850ec34f5e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-11-10T18:32:18Z",
    "title_canon_sha256": "e365769da8f3fdecaf856c328c388cef8d2e82aa8bfdafd28b98a4b60bd951a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03217",
    "kind": "arxiv",
    "version": 2
  }
}