Pith Number

pith:WZBKN3BI

pith:2013:WZBKN3BIFVRGNZJIJ6AUMSTFDO

not attested not anchored not stored refs pending

Another look at expurgated bounds and their statistical-mechanical interpretation

Neri Merhav

arxiv:1301.4117 v1 · 2013-01-17 · cs.IT · cond-mat.stat-mech · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WZBKN3BIFVRGNZJIJ6AUMSTFDO}

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	2026-05-18T03:36:14.200253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b642a6ec282d6266e5284f81464a651b8d80815654a61a7e5d1d0cea9929996c

Aliases

arxiv: 1301.4117 · arxiv_version: 1301.4117v1 · doi: 10.48550/arxiv.1301.4117 · pith_short_12: WZBKN3BIFVRG · pith_short_16: WZBKN3BIFVRGNZJI · pith_short_8: WZBKN3BI

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/WZBKN3BIFVRGNZJIJ6AUMSTFDO \
  | 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: b642a6ec282d6266e5284f81464a651b8d80815654a61a7e5d1d0cea9929996c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "849bb329df14e561d5d2349f5a9f23bd952a593282b894361c1b411b25fa94a9",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-01-17T15:17:39Z",
    "title_canon_sha256": "48c1731ea2039b23a781fd1b00fcf1eb23f5735f41d81223b9da8b77ce0bb920"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4117",
    "kind": "arxiv",
    "version": 1
  }
}