Pith Number

pith:TJEU4CHE

pith:2019:TJEU4CHEOEAFIYKHLPKZEC3BZX

not attested not anchored not stored refs pending

Exact Solutions and Accelerating Universe in Modified Brans-Dicke Theories

Purba Mukherjee, Soumya Chakrabarti

arxiv:1908.01564 v1 · 2019-08-05 · 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{TJEU4CHEOEAFIYKHLPKZEC3BZX}

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	2026-07-04T23:57:51.435010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a494e08e471005461475bd5920b61cdf237d19ef334271236bd9e074457cbf4

Aliases

arxiv: 1908.01564 · arxiv_version: 1908.01564v1 · doi: 10.48550/arxiv.1908.01564 · pith_short_12: TJEU4CHEOEAF · pith_short_16: TJEU4CHEOEAFIYKH · pith_short_8: TJEU4CHE

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/TJEU4CHEOEAFIYKHLPKZEC3BZX \
  | 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: 9a494e08e471005461475bd5920b61cdf237d19ef334271236bd9e074457cbf4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78e4ba0672918959ae78fc7f565cf95629fae180e4514fcf471f1f347370e0c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-08-05T11:33:42Z",
    "title_canon_sha256": "e035969e87fa7135732d56de908c01549240f68f8c672f405e9d63ac8f957b77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01564",
    "kind": "arxiv",
    "version": 1
  }
}