Pith Number

pith:ONG4UP6T

pith:2007:ONG4UP6T7S3KDKFDATRWPIQH65

not attested not anchored not stored refs pending

Mass gap in the 2D O(3) non-linear sigma model with a theta=pi term

A. Papa, B. Alles

arxiv:0711.1496 v2 · 2007-11-09 · cond-mat.stat-mech · cond-mat.other · hep-lat

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ONG4UP6T7S3KDKFDATRWPIQH65}

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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.

Cited by

1 paper in Pith

Phase structure analysis of CP(1) model with $\theta$ term by tensor renormalization group

Receipt and verification

First computed	2026-07-04T15:27:56.476009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

734dca3fd3fcb6a1a8a304e367a207f74ef127045423c946ce70ae2d5bc7f86e

Aliases

arxiv: 0711.1496 · arxiv_version: 0711.1496v2 · doi: 10.48550/arxiv.0711.1496 · pith_short_12: ONG4UP6T7S3K · pith_short_16: ONG4UP6T7S3KDKFD · pith_short_8: ONG4UP6T

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/ONG4UP6T7S3KDKFDATRWPIQH65 \
  | 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: 734dca3fd3fcb6a1a8a304e367a207f74ef127045423c946ce70ae2d5bc7f86e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f80d0cf5a0d4146ef66a502514390a7837cf353e689c836643381856716ea8a",
    "cross_cats_sorted": [
      "cond-mat.other",
      "hep-lat"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2007-11-09T16:12:11Z",
    "title_canon_sha256": "4744b8234013147aa4f94266463df73245fc3b770f8ad2eaf64ec3e2b8434f33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.1496",
    "kind": "arxiv",
    "version": 2
  }
}