Pith Number

pith:QMFIV4RS

pith:2017:QMFIV4RSOVX2BTSMN5OOTWYL4W

not attested not anchored not stored refs pending

Consistency between dynamical and thermodynamical stabilities for perfect fluid in $f(R)$ theories

Jiliang Jing, Xiaokai He, Xiongjun Fang

arxiv:1705.05977 v2 · 2017-05-17 · gr-qc · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QMFIV4RSOVX2BTSMN5OOTWYL4W}

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	2026-05-18T00:07:12.190041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

830a8af232756fa0ce4c6f5ce9db0be5b26f0a3c4a2d5cd6d9be5c6e3b4c10e8

Aliases

arxiv: 1705.05977 · arxiv_version: 1705.05977v2 · doi: 10.48550/arxiv.1705.05977 · pith_short_12: QMFIV4RSOVX2 · pith_short_16: QMFIV4RSOVX2BTSM · pith_short_8: QMFIV4RS

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/QMFIV4RSOVX2BTSMN5OOTWYL4W \
  | 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: 830a8af232756fa0ce4c6f5ce9db0be5b26f0a3c4a2d5cd6d9be5c6e3b4c10e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcbd8febe38877ebd1cc5358c665fc1099f5f28ee32cc25085a654a87d4ce4b8",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-05-17T01:49:10Z",
    "title_canon_sha256": "22ebf9fbf4cc73ba23caadb7e61ea5e0c891d0c3ec5ef2f31437813554578776"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.05977",
    "kind": "arxiv",
    "version": 2
  }
}