Pith Number

pith:7AODY5SA

pith:2025:7AODY5SAOTEXERSRWTDWIDXT4Q

not attested not anchored not stored refs pending

Phases in WLZZ Matrix Models

A. Mironov, A. Oreshina, A. Popolitov

arxiv:2507.05406 v1 · 2025-07-07 · hep-th · 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{7AODY5SAOTEXERSRWTDWIDXT4Q}

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	2026-07-05T12:03:49.800489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f81c3c764074c9724651b4c7640ef3e43c79cead1d5be57f1d1e3c83e7c7b571

Aliases

arxiv: 2507.05406 · arxiv_version: 2507.05406v1 · doi: 10.48550/arxiv.2507.05406 · pith_short_12: 7AODY5SAOTEX · pith_short_16: 7AODY5SAOTEXERSR · pith_short_8: 7AODY5SA

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/7AODY5SAOTEXERSRWTDWIDXT4Q \
  | 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: f81c3c764074c9724651b4c7640ef3e43c79cead1d5be57f1d1e3c83e7c7b571

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "739ddb871a83f597f599448bbaae600d26104c996a620e33cd19a5bc076f5934",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-07-07T18:45:57Z",
    "title_canon_sha256": "678d744d7b7e0c1364925bfe0c851c61594760d981b9044ade64a58d9a5535c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.05406",
    "kind": "arxiv",
    "version": 1
  }
}