Pith Number

pith:JGJRRFDZ

pith:1993:JGJRRFDZPW5NP6DUM4MHYZGBCA

not attested not anchored not stored refs pending

Uncertainty Relation at Finite Temperature

B. L. Hu, Yuhong Zhang

arxiv:gr-qc/9303031 v1 · 1993-03-26 · 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{JGJRRFDZPW5NP6DUM4MHYZGBCA}

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	2026-05-18T01:39:19.907236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49931894797dbad7f87467187c64c110012eadc08ad9672698819532427c3b8e

Aliases

arxiv: gr-qc/9303031 · arxiv_version: gr-qc/9303031v1 · doi: 10.48550/arxiv.gr-qc/9303031 · pith_short_12: JGJRRFDZPW5N · pith_short_16: JGJRRFDZPW5NP6DU · pith_short_8: JGJRRFDZ

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/JGJRRFDZPW5NP6DUM4MHYZGBCA \
  | 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: 49931894797dbad7f87467187c64c110012eadc08ad9672698819532427c3b8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eba81ee070fed28c783a38ab6f533aada3b6aa5a6e683a105b4a9a1bb631073b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1993-03-26T20:52:00Z",
    "title_canon_sha256": "6957d2f41c834da2f90a660c7ccb73d1e18deecbf7fa858e725856cadf5b93c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9303031",
    "kind": "arxiv",
    "version": 1
  }
}