Pith Number

pith:H2WMLU6T

pith:2010:H2WMLU6TUD745T3M5LLIPIEOYO

not attested not anchored not stored refs pending

Kubo formula for finite size systems

Jinshan Wu, Mona Berciu

arxiv:1003.1992 v1 · 2010-03-09 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H2WMLU6TUD745T3M5LLIPIEOYO}

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	2026-05-18T04:35:06.044137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3eacc5d3d3a0ffcecf6cead687a08ec3999dad25ac29ce5a000300066f97bc7e

Aliases

arxiv: 1003.1992 · arxiv_version: 1003.1992v1 · doi: 10.48550/arxiv.1003.1992 · pith_short_12: H2WMLU6TUD74 · pith_short_16: H2WMLU6TUD745T3M · pith_short_8: H2WMLU6T

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/H2WMLU6TUD745T3M5LLIPIEOYO \
  | 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: 3eacc5d3d3a0ffcecf6cead687a08ec3999dad25ac29ce5a000300066f97bc7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "305c20d1f0d7a44ac2f6ba7b5ada190a3686b4110588748f4e90e473d30e6715",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-03-09T22:33:26Z",
    "title_canon_sha256": "176c4ed00bc2f4dca9a36b59e13d661a64bbe6104abf39309bdf0a2a97cb8383"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.1992",
    "kind": "arxiv",
    "version": 1
  }
}