Pith Number

pith:K7ZQUY4R

pith:1999:K7ZQUY4RLNE2VOK3KJKFYBVUIV

not attested not anchored not stored refs pending

Four loop results for the 2D O(n) nonlinear sigma model with 0-loop and 1-loop Symanzik actions

B. Alles (Milano-Bicocca), M. Pepe (Milano-Bicocca)

arxiv:hep-lat/9909019 v1 · 1999-09-03 · hep-lat · cond-mat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K7ZQUY4RLNE2VOK3KJKFYBVUIV}

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	2026-05-18T01:39:11.224552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57f30a63915b49aab95b52545c06b4457ffc223659e03791cb2c106767a9896b

Aliases

arxiv: hep-lat/9909019 · arxiv_version: hep-lat/9909019v1 · doi: 10.48550/arxiv.hep-lat/9909019 · pith_short_12: K7ZQUY4RLNE2 · pith_short_16: K7ZQUY4RLNE2VOK3 · pith_short_8: K7ZQUY4R

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/K7ZQUY4RLNE2VOK3KJKFYBVUIV \
  | 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: 57f30a63915b49aab95b52545c06b4457ffc223659e03791cb2c106767a9896b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "973482934c5a8ffce00d58e8a834ce3121c3fa4a0c8c9722cbfc33496fb7127a",
    "cross_cats_sorted": [
      "cond-mat"
    ],
    "license": "",
    "primary_cat": "hep-lat",
    "submitted_at": "1999-09-03T08:40:22Z",
    "title_canon_sha256": "f0ddc035bfa51769cc2e9b6c7b14423ac02aaad24f9f0dd41ec6f64ca539fd56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-lat/9909019",
    "kind": "arxiv",
    "version": 1
  }
}