Pith Number

pith:OI2H6CKB

pith:2011:OI2H6CKB67RKFPWK6E5LMIMEIQ

not attested not anchored not stored refs pending

The master field on the plane

Thierry L\'evy (LPMA)

arxiv:1112.2452 v2 · 2011-12-12 · 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{OI2H6CKB67RKFPWK6E5LMIMEIQ}

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.

Cited by

1 paper in Pith

Surface sums in two-dimensional large-$N$ lattice Yang--Mills: Cancellations and explicit computations for general loops

Receipt and verification

First computed	2026-05-18T03:53:54.549494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72347f0941f7e2a2becaf13ab6218444221d2cdf10649e22a6e1c959d0450967

Aliases

arxiv: 1112.2452 · arxiv_version: 1112.2452v2 · doi: 10.48550/arxiv.1112.2452 · pith_short_12: OI2H6CKB67RK · pith_short_16: OI2H6CKB67RKFPWK · pith_short_8: OI2H6CKB

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/OI2H6CKB67RKFPWK6E5LMIMEIQ \
  | 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: 72347f0941f7e2a2becaf13ab6218444221d2cdf10649e22a6e1c959d0450967

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90c2d21e40527c35f9041c7f1147b01d3a49af9cd310ad7b9569ecd9fe360165",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-12-12T06:14:06Z",
    "title_canon_sha256": "2d821d2e77f1494dd8a36b748f5dac3e9e5a0f60a67b3c93dab52e242ae74dea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2452",
    "kind": "arxiv",
    "version": 2
  }
}