Pith Number

pith:ZN7CNYCM

pith:2016:ZN7CNYCMBE2RPIPW2OHKUK2CJ6

not attested not anchored not stored refs pending

Entropy, energy and temperature-length inequality for Friedmann universes

Stefano Viaggiu

arxiv:1602.03970 v2 · 2016-02-12 · 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{ZN7CNYCMBE2RPIPW2OHKUK2CJ6}

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	2026-05-18T01:19:33.762004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb7e26e04c093517a1f6d38eaa2b424f8e63cc490674bc66f71ec85fa485e677

Aliases

arxiv: 1602.03970 · arxiv_version: 1602.03970v2 · doi: 10.48550/arxiv.1602.03970 · pith_short_12: ZN7CNYCMBE2R · pith_short_16: ZN7CNYCMBE2RPIPW · pith_short_8: ZN7CNYCM

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/ZN7CNYCMBE2RPIPW2OHKUK2CJ6 \
  | 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: cb7e26e04c093517a1f6d38eaa2b424f8e63cc490674bc66f71ec85fa485e677

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b7ffbc4c37b520bed835b5d1eab6043608e545c84b2be56c684383b8a0ffcee",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-02-12T07:38:16Z",
    "title_canon_sha256": "b2d971d1056be6380e2e3198268bcd1e3e8837cc3f1dbb4a77e52ab199f1621d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03970",
    "kind": "arxiv",
    "version": 2
  }
}