Pith Number

pith:GFQQBYRN

pith:2018:GFQQBYRNXOPIMEXAYZIMZW4FV6

not attested not anchored not stored refs pending

Bouncing Universe in the Contexts of Generalized Cosmic Chaplygin Gas and Variable Modified Chaplygin Gas

Tanwi Bandyopadhyay, Ujjal Debnath

arxiv:1812.03834 v1 · 2018-12-06 · 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{GFQQBYRNXOPIMEXAYZIMZW4FV6}

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	2026-05-17T23:58:43.759788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

316100e22dbb9e8612e0c650ccdb85af9503288d86496f917cdeb75e6cd98159

Aliases

arxiv: 1812.03834 · arxiv_version: 1812.03834v1 · doi: 10.48550/arxiv.1812.03834 · pith_short_12: GFQQBYRNXOPI · pith_short_16: GFQQBYRNXOPIMEXA · pith_short_8: GFQQBYRN

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/GFQQBYRNXOPIMEXAYZIMZW4FV6 \
  | 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: 316100e22dbb9e8612e0c650ccdb85af9503288d86496f917cdeb75e6cd98159

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea4dc961b7c2fc4d89dd6aca9dd1a024f6a8d31779de504fdd8a7f757842a28a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-12-06T05:42:31Z",
    "title_canon_sha256": "fb21dab7ad257cca2a824ca5a78e7f6fe1d155b8a7ccef0017473208aac368a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.03834",
    "kind": "arxiv",
    "version": 1
  }
}