Pith Number

pith:UBUTXASK

pith:1999:UBUTXASKBKMHQ53XMEMSQHDQNS

not attested not anchored not stored refs pending

Entropy Production and Thermodynamic Arrow of Time in a Recollapsing Universe

Sang Pyo Kim

arxiv:gr-qc/9912114 v1 · 1999-12-29 · 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{UBUTXASKBKMHQ53XMEMSQHDQNS}

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	2026-05-18T04:24:25.691483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0693b824a0a987877776119281c706cad4ded159ba0ff1794b81481698457f6

Aliases

arxiv: gr-qc/9912114 · arxiv_version: gr-qc/9912114v1 · doi: 10.48550/arxiv.gr-qc/9912114 · pith_short_12: UBUTXASKBKMH · pith_short_16: UBUTXASKBKMHQ53X · pith_short_8: UBUTXASK

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/UBUTXASKBKMHQ53XMEMSQHDQNS \
  | 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: a0693b824a0a987877776119281c706cad4ded159ba0ff1794b81481698457f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "623cfe394e4c99eeeab84100b00cbed37068b2d209f6dfc222dbe290765c5615",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-12-29T06:16:27Z",
    "title_canon_sha256": "2865442b62d864b7be15e9f4fae05d161c258f7ecc399ea186989e97cded3080"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9912114",
    "kind": "arxiv",
    "version": 1
  }
}