Pith Number

pith:QIDOBVK4

pith:2009:QIDOBVK4TQRADBYJVPCVAYCJ6U

not attested not anchored not stored refs pending

From the mass gap in O(N) to the non-Borel-summability in O(3) and O(4) sigma-models

Dmytro Volin

arxiv:0904.2744 v2 · 2009-04-17 · hep-th · cond-mat.stat-mech · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QIDOBVK4TQRADBYJVPCVAYCJ6U}

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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

Perturbative, Nonperturbative and Exact Aspects of Crystalline Phases in the Gross-Neveu Model

Receipt and verification

First computed	2026-05-18T04:23:32.526305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8206e0d55c9c22018709abc5506049f50520b47bc4322b4c7c505be6da9daa70

Aliases

arxiv: 0904.2744 · arxiv_version: 0904.2744v2 · doi: 10.48550/arxiv.0904.2744 · pith_short_12: QIDOBVK4TQRA · pith_short_16: QIDOBVK4TQRADBYJ · pith_short_8: QIDOBVK4

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/QIDOBVK4TQRADBYJVPCVAYCJ6U \
  | 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: 8206e0d55c9c22018709abc5506049f50520b47bc4322b4c7c505be6da9daa70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8b1206ac2b3b0e2b2ef36aa003bf86cb6436e2928fc85d16d15a84bea3cf3cf",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-04-17T17:16:39Z",
    "title_canon_sha256": "29b15a099cc4940ec4163a63bc7fa54b5e3ec640378f2b3c5c17341f9b2f08fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.2744",
    "kind": "arxiv",
    "version": 2
  }
}