Pith Number

pith:4KGPO4HI

pith:2016:4KGPO4HILE3XGHNNRFSWSSNY2Y

not attested not anchored not stored refs pending

Is the Hypothesis About a Low Entropy Initial State of the Universe Necessary for Explaining the Arrow of Time?

Nino Zanghi, Roderich Tumulka, Sheldon Goldstein

arxiv:1602.05601 v3 · 2016-02-09 · astro-ph.CO · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4KGPO4HILE3XGHNNRFSWSSNY2Y}

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	2026-05-18T01:10:24.665541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e28cf770e85937731dad89656949b8d6037d7bb7930a94966e62855241d23993

Aliases

arxiv: 1602.05601 · arxiv_version: 1602.05601v3 · doi: 10.48550/arxiv.1602.05601 · pith_short_12: 4KGPO4HILE3X · pith_short_16: 4KGPO4HILE3XGHNN · pith_short_8: 4KGPO4HI

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/4KGPO4HILE3XGHNNRFSWSSNY2Y \
  | 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: e28cf770e85937731dad89656949b8d6037d7bb7930a94966e62855241d23993

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48ffff63c8235ce20ecd55923c2aa04f6aa72bbd49a829417caafe9c284302c0",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-02-09T01:21:31Z",
    "title_canon_sha256": "c7b1a51033c6fb712c7ffbca8d6c24a8371ee13a72adff8ef382c05b6f2b7907"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.05601",
    "kind": "arxiv",
    "version": 3
  }
}