Pith Number

pith:LSZPVZE6

pith:2011:LSZPVZE6HWZMTFM6JWBEGXWHC4

not attested not anchored not stored refs pending

A Modified Generalized Chaplygin Gas as the Unified Dark Matter-Dark Energy Revisited

Xue-Mei Deng

arxiv:1110.1913 v1 · 2011-10-10 · 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{LSZPVZE6HWZMTFM6JWBEGXWHC4}

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	2026-05-18T03:19:22.691087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cb2fae49e3db2c9959e4d82435ec717113ce30688f248c15ededa9df02287ac

Aliases

arxiv: 1110.1913 · arxiv_version: 1110.1913v1 · doi: 10.48550/arxiv.1110.1913 · pith_short_12: LSZPVZE6HWZM · pith_short_16: LSZPVZE6HWZMTFM6 · pith_short_8: LSZPVZE6

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/LSZPVZE6HWZMTFM6JWBEGXWHC4 \
  | 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: 5cb2fae49e3db2c9959e4d82435ec717113ce30688f248c15ededa9df02287ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e070cc43218702a082d9c2510e490a02d64c79e5d201ccc5030b20968aaf78b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-10-10T03:02:07Z",
    "title_canon_sha256": "ba1b50a02efb1353c81ab9bae3cf144886d8be2ab32e4c7a2556cb3bdc7ed0da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1913",
    "kind": "arxiv",
    "version": 1
  }
}