Pith Number

pith:JYW3XVDH

pith:2025:JYW3XVDHB2ITNPN7352MUYZBQ4

not attested not anchored not stored refs pending

Logarithmic Quot spaces, boundedness, and K-tropicalizations

Dhruv Ranganathan, Patrick Kennedy-Hunt

arxiv:2508.08175 v1 · 2025-08-11 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JYW3XVDHB2ITNPN7352MUYZBQ4}

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	2026-07-05T11:52:09.340736Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e2dbbd4670e9136bdbfdf74ca63218738317865fb8d00a859b53069b7499c58

Aliases

arxiv: 2508.08175 · arxiv_version: 2508.08175v1 · doi: 10.48550/arxiv.2508.08175 · pith_short_12: JYW3XVDHB2IT · pith_short_16: JYW3XVDHB2ITNPN7 · pith_short_8: JYW3XVDH

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/JYW3XVDHB2ITNPN7352MUYZBQ4 \
  | 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: 4e2dbbd4670e9136bdbfdf74ca63218738317865fb8d00a859b53069b7499c58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4e753d4c0a4b8c7d0c00a340848fb52d228b89d8bdd8aab93629d6f87a1442e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-08-11T16:55:53Z",
    "title_canon_sha256": "db2d8ce59fbc6583802ff90e171c361989c649259700fdf1a212e3b49fc767e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.08175",
    "kind": "arxiv",
    "version": 1
  }
}