Pith Number

pith:G32E2PV7

pith:2026:G32E2PV7XXM2BP66APE6WJJO3J

not attested not anchored not stored refs pending

Two roles of Alexander in two Kashaev phases

Alexei Morozov, Dmitry Galakhov

arxiv:2605.31588 v1 · 2026-05-29 · hep-th · math-ph · math.GT · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G32E2PV7XXM2BP66APE6WJJO3J}

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	2026-06-01T02:04:14.567415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36f44d3ebfbdd9a0bfde03c9eb252eda44dc0d3e1cc48301e294a3769a0435a0

Aliases

arxiv: 2605.31588 · arxiv_version: 2605.31588v1 · doi: 10.48550/arxiv.2605.31588 · pith_short_12: G32E2PV7XXM2 · pith_short_16: G32E2PV7XXM2BP66 · pith_short_8: G32E2PV7

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/G32E2PV7XXM2BP66APE6WJJO3J \
  | 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: 36f44d3ebfbdd9a0bfde03c9eb252eda44dc0d3e1cc48301e294a3769a0435a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1c7b0e2f8b24b00037315703f1e683a420fa04f0f029b08c583598aabec8d6c",
    "cross_cats_sorted": [
      "math-ph",
      "math.GT",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-05-29T17:55:11Z",
    "title_canon_sha256": "cb220382941335923871acb5a020535f0008982b506cb812a3cdd73434cefd75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.31588",
    "kind": "arxiv",
    "version": 1
  }
}