Pith Number

pith:4VLG2ZET

pith:2016:4VLG2ZET2I6TF6PTSSUSILDAQA

not attested not anchored not stored refs pending

Thermal Gravitational Radiation and Condensed Universe

Mei Wu, Ti-Pei Li

arxiv:1612.04199 v1 · 2016-12-07 · physics.gen-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4VLG2ZET2I6TF6PTSSUSILDAQA}

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	2026-05-18T00:55:05.160011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5566d6493d23d32f9f394a9242c608000ca8b2fbebdc5e7ee37c86767174cda

Aliases

arxiv: 1612.04199 · arxiv_version: 1612.04199v1 · doi: 10.48550/arxiv.1612.04199 · pith_short_12: 4VLG2ZET2I6T · pith_short_16: 4VLG2ZET2I6TF6PT · pith_short_8: 4VLG2ZET

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/4VLG2ZET2I6TF6PTSSUSILDAQA \
  | 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: e5566d6493d23d32f9f394a9242c608000ca8b2fbebdc5e7ee37c86767174cda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48498c51a707b72180e755b2287612755e806d45032943cb4790ca8f991d2c14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2016-12-07T06:33:02Z",
    "title_canon_sha256": "8a381b8e54564770d221ed93468dbb1acfa255d4e37ee789bfef36f69835e851"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04199",
    "kind": "arxiv",
    "version": 1
  }
}