Pith Number

pith:BMZPMEQG

pith:2010:BMZPMEQGIHKQRSN7MXMGJV6MNN

not attested not anchored not stored refs pending

Equivalence of domains for hyperbolic Hubbard-Stratonovich transformations

J. Mueller-Hill, M.R. Zirnbauer

arxiv:1011.1389 v1 · 2010-11-05 · 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{BMZPMEQGIHKQRSN7MXMGJV6MNN}

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	2026-05-18T01:20:06.674176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b32f6120641d508c9bf65d864d7cc6b4d8e275a4370e90b20bf5bef32015bcc

Aliases

arxiv: 1011.1389 · arxiv_version: 1011.1389v1 · doi: 10.48550/arxiv.1011.1389 · pith_short_12: BMZPMEQGIHKQ · pith_short_16: BMZPMEQGIHKQRSN7 · pith_short_8: BMZPMEQG

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/BMZPMEQGIHKQRSN7MXMGJV6MNN \
  | 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: 0b32f6120641d508c9bf65d864d7cc6b4d8e275a4370e90b20bf5bef32015bcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7bdbb87b0cac3d9cebd4d3be229383d3ee9b94c40247c1857f9237ec2bd6bca",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-11-05T13:04:20Z",
    "title_canon_sha256": "bd1114acce5284875dc71435d2a62dd4e779664c85c13e681d78a5d06ffa5b44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1389",
    "kind": "arxiv",
    "version": 1
  }
}