Pith Number

pith:6GARQZOK

pith:2026:6GARQZOKSFT7IBGX5FIISHXI4C

not attested not anchored not stored refs pending

Smashing, Balmer, Zariski spectra: an ideal approach

Changhan Zou, Jiacheng Liang

arxiv:2607.13329 v1 · 2026-07-14 · math.AT · math.AG · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6GARQZOKSFT7IBGX5FIISHXI4C}

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.

Cited by

1 paper in Pith

Dualizable Additive Categories

Receipt and verification

First computed	2026-07-16T00:22:12.334431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1811865ca9167f404d7e950891ee8e0b5e1ccf53855e0b16307fe75367ad983

Aliases

arxiv: 2607.13329 · arxiv_version: 2607.13329v1 · doi: 10.48550/arxiv.2607.13329 · pith_short_12: 6GARQZOKSFT7 · pith_short_16: 6GARQZOKSFT7IBGX · pith_short_8: 6GARQZOK

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/6GARQZOKSFT7IBGX5FIISHXI4C \
  | 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: f1811865ca9167f404d7e950891ee8e0b5e1ccf53855e0b16307fe75367ad983

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f398c939b90e0b5c644656938e503ac96284391e80369881d4bd571962c244d5",
    "cross_cats_sorted": [
      "math.AG",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2026-07-14T23:22:19Z",
    "title_canon_sha256": "0f5254153d94fb65cea0612a9e6d0a3a6a1aefccfbb92468e2e6cf6dd186e5b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.13329",
    "kind": "arxiv",
    "version": 1
  }
}