Pith Number

pith:3YVCVT2Y

pith:2025:3YVCVT2YCPDV73BUEU4HRMWBO4

not attested not anchored not stored refs pending

$QQ$-systems and tropical geometry

Anton M. Zeitlin, Rahul Singh

arxiv:2504.11260 v2 · 2025-04-15 · math.AG · hep-th · math-ph · math.MP · math.QA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3YVCVT2YCPDV73BUEU4HRMWBO4}

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	2026-07-05T10:52:40.478855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de2a2acf5813c75fec34253878b2c1771a7fe926d6aedae1cb2b11c2f8ae9316

Aliases

arxiv: 2504.11260 · arxiv_version: 2504.11260v2 · doi: 10.48550/arxiv.2504.11260 · pith_short_12: 3YVCVT2YCPDV · pith_short_16: 3YVCVT2YCPDV73BU · pith_short_8: 3YVCVT2Y

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/3YVCVT2YCPDV73BUEU4HRMWBO4 \
  | 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: de2a2acf5813c75fec34253878b2c1771a7fe926d6aedae1cb2b11c2f8ae9316

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b79a689cfb7b96002221ed8711817e45027dce924ca56fcbc78174959229c68b",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP",
      "math.QA",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-04-15T14:59:26Z",
    "title_canon_sha256": "1615e10455b68e69c101842f1d3b53f35e9523dd5c05415a45e4173afeeb67e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.11260",
    "kind": "arxiv",
    "version": 2
  }
}