Pith Number

pith:LEW5KZKP

pith:2007:LEW5KZKPDS3CLDLU7GE6H2X5J3

not attested not anchored not stored refs pending

Typicality versus thermality: An analytic distinction

Bartlomiej Czech, Joan Simon, Klaus Larjo, Mukund Rangamani, Veronika Hubeny, Vijay Balasubramanian

arxiv:hep-th/0701122 v2 · 2007-01-12 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LEW5KZKPDS3CLDLU7GE6H2X5J3}

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	2026-07-04T15:31:44.628107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

592dd5654f1cb6258d74f989e3eafd4ed79ceedbf3267828dfc3a748c067498a

Aliases

arxiv: hep-th/0701122 · arxiv_version: hep-th/0701122v2 · doi: 10.48550/arxiv.hep-th/0701122 · pith_short_12: LEW5KZKPDS3C · pith_short_16: LEW5KZKPDS3CLDLU · pith_short_8: LEW5KZKP

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/LEW5KZKPDS3CLDLU7GE6H2X5J3 \
  | 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: 592dd5654f1cb6258d74f989e3eafd4ed79ceedbf3267828dfc3a748c067498a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4aeef75310482829c251f0bfd8ff1029c2c0ab28098862d0eb42ad13873eabae",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2007-01-12T19:23:08Z",
    "title_canon_sha256": "aefd48e88076ab70a2928fd51c9bca584023b2ffd2391360879760f2854c7894"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0701122",
    "kind": "arxiv",
    "version": 2
  }
}