Pith Number

pith:VTLQULPY

pith:2019:VTLQULPYOFCXZA2GQDG6HVJVBU

not attested not anchored not stored refs pending

Entropic considerations on the Universe and Universe-Black Hole Systems

F. Darabi, H. Hadi, Y. Heydarzade

arxiv:1907.07143 v2 · 2019-07-12 · 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{VTLQULPYOFCXZA2GQDG6HVJVBU}

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	2026-07-05T02:38:12.046703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acd70a2df871457c834680cde3d5350d14133628efa60ad8ef480e6bcef5c584

Aliases

arxiv: 1907.07143 · arxiv_version: 1907.07143v2 · doi: 10.48550/arxiv.1907.07143 · pith_short_12: VTLQULPYOFCX · pith_short_16: VTLQULPYOFCXZA2G · pith_short_8: VTLQULPY

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/VTLQULPYOFCXZA2GQDG6HVJVBU \
  | 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: acd70a2df871457c834680cde3d5350d14133628efa60ad8ef480e6bcef5c584

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afebe2458f30a4dee59b572dd18f7ea3f58efb5b8aafffff62eb5c6624106d2a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-07-12T08:04:24Z",
    "title_canon_sha256": "e41c0e41384e6ed9c07fdf5cd93aa151217d9b76b1545ee0ee5d4112c656ce25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07143",
    "kind": "arxiv",
    "version": 2
  }
}