Pith Number

pith:7PAG3B4C

pith:2013:7PAG3B4CC4A4OFP345SIXRSCT7

not attested not anchored not stored refs pending

On short interval expansion of R\'enyi entropy

Bin Chen, Jia-ju Zhang

arxiv:1309.5453 v2 · 2013-09-21 · hep-th · cond-mat.stat-mech · gr-qc

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

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.

Cited by

1 paper in Pith

Precision tests of bulk entanglement: $AdS_3$ vectors

Receipt and verification

First computed	2026-05-18T03:04:22.317488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbc06d87821701c715fbe7648bc6429fc45ff6a000ea0435570dc8bae534e779

Aliases

arxiv: 1309.5453 · arxiv_version: 1309.5453v2 · doi: 10.48550/arxiv.1309.5453 · pith_short_12: 7PAG3B4CC4A4 · pith_short_16: 7PAG3B4CC4A4OFP3 · pith_short_8: 7PAG3B4C

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/7PAG3B4CC4A4OFP345SIXRSCT7 \
  | 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: fbc06d87821701c715fbe7648bc6429fc45ff6a000ea0435570dc8bae534e779

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e53cec1a61768f329451328e7e802028b4f94bdcf9dcaab35e0f2d268cf6f6f6",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-09-21T09:09:25Z",
    "title_canon_sha256": "6258b6a8ba3e6e7fa8b2bd960915a5afe272acd19780d9bda6e9fc0e80724706"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5453",
    "kind": "arxiv",
    "version": 2
  }
}