Pith Number

pith:LRKVB55K

pith:2000:LRKVB55K6VZPQFXWN534G5KWLL

not attested not anchored not stored refs pending

Helicity modulus as renormalized coupling in the O(3) sigma-model

Heiko Molke, Ulli Wolff

arxiv:hep-lat/0012027 v2 · 2000-12-23 · hep-lat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LRKVB55K6VZPQFXWN534G5KWLL}

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	2026-05-18T01:39:15.158075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c5550f7aaf572f816f66f77c375565afeb4155a0abd3640f189917dd2ae3ffa

Aliases

arxiv: hep-lat/0012027 · arxiv_version: hep-lat/0012027v2 · doi: 10.48550/arxiv.hep-lat/0012027 · pith_short_12: LRKVB55K6VZP · pith_short_16: LRKVB55K6VZPQFXW · pith_short_8: LRKVB55K

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/LRKVB55K6VZPQFXWN534G5KWLL \
  | 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: 5c5550f7aaf572f816f66f77c375565afeb4155a0abd3640f189917dd2ae3ffa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2a153b23d7c6e119c08d1474cbee9f38d6cb68876fc9c42be7ef430ae1799a3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-lat",
    "submitted_at": "2000-12-23T10:42:59Z",
    "title_canon_sha256": "97026267b29a719c85c1621023e2cdddbcb9d728c3cbf6d746972963aa15e186"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-lat/0012027",
    "kind": "arxiv",
    "version": 2
  }
}