Pith Number

pith:QYSYG5QO

pith:2015:QYSYG5QOSD7N26ATBXJMY64TAG

not attested not anchored not stored refs pending

Planckian corrections to the Friedmann flat equations from thermodynamics at the apparent horizon

Stefano Viaggiu

arxiv:1511.06511 v2 · 2015-11-20 · hep-th · astro-ph.CO · 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{QYSYG5QOSD7N26ATBXJMY64TAG}

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	2026-05-18T01:22:50.265215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

862583760e90fedd78130dd2cc7b9301a981deae89cda7b0dcf1c34b25a1abf6

Aliases

arxiv: 1511.06511 · arxiv_version: 1511.06511v2 · doi: 10.48550/arxiv.1511.06511 · pith_short_12: QYSYG5QOSD7N · pith_short_16: QYSYG5QOSD7N26AT · pith_short_8: QYSYG5QO

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/QYSYG5QOSD7N26ATBXJMY64TAG \
  | 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: 862583760e90fedd78130dd2cc7b9301a981deae89cda7b0dcf1c34b25a1abf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ba8c2f30770dcfdeb5e0ffc1a679656167eb118a4dc09db49d2a7548e1e0ca4",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-11-20T07:43:24Z",
    "title_canon_sha256": "9b8272c8a760393e24574035de70008fe32ac6d438843fa80dfb07441bd72c4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06511",
    "kind": "arxiv",
    "version": 2
  }
}