Pith Number

pith:WRDI7Y2E

pith:2017:WRDI7Y2EMYQLYDKCHUYLSYFFHG

not attested not anchored not stored refs pending

Area Law Micro-State Entropy from Criticality and Spherical Symmetry

Gia Dvali

arxiv:1712.02233 v1 · 2017-12-06 · hep-th · cond-mat.quant-gas · gr-qc · quant-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{WRDI7Y2EMYQLYDKCHUYLSYFFHG}

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	2026-05-18T00:15:58.414839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4468fe3446620bc0d423d30b960a539975119606f176fa5bab89849bca20108

Aliases

arxiv: 1712.02233 · arxiv_version: 1712.02233v1 · doi: 10.48550/arxiv.1712.02233 · pith_short_12: WRDI7Y2EMYQL · pith_short_16: WRDI7Y2EMYQLYDKC · pith_short_8: WRDI7Y2E

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/WRDI7Y2EMYQLYDKCHUYLSYFFHG \
  | 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: b4468fe3446620bc0d423d30b960a539975119606f176fa5bab89849bca20108

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5697d3698cbaa06a7799c5996cb78c5ab25ca3bb45b044fec1164374f741e2ba",
    "cross_cats_sorted": [
      "cond-mat.quant-gas",
      "gr-qc",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2017-12-06T15:34:42Z",
    "title_canon_sha256": "a954f38fdd6b692e1c98d0c78c2d7c9378c54eca1c70b8e359c61246510938a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.02233",
    "kind": "arxiv",
    "version": 1
  }
}