Pith Number

pith:ZHW6WUKB

pith:2025:ZHW6WUKBTDICVRNXGR5SSLGMUB

not attested not anchored not stored refs pending

Segre classes and integral dependence

Yairon Cid-Ruiz

arxiv:2512.08863 v2 · 2025-12-09 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZHW6WUKBTDICVRNXGR5SSLGMUB}

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	2026-06-19T16:12:49.707749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9edeb514198d02ac5b7347b292ccca0525839faeefebb22e07cdc574d42a0c7

Aliases

arxiv: 2512.08863 · arxiv_version: 2512.08863v2 · doi: 10.48550/arxiv.2512.08863 · pith_short_12: ZHW6WUKBTDIC · pith_short_16: ZHW6WUKBTDICVRNX · pith_short_8: ZHW6WUKB

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/ZHW6WUKBTDICVRNXGR5SSLGMUB \
  | 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: c9edeb514198d02ac5b7347b292ccca0525839faeefebb22e07cdc574d42a0c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c38bec6c0c1ea50d5403daba8d7869f3e4b401590f567a12abb911558d1bda5",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-12-09T17:54:09Z",
    "title_canon_sha256": "1629371bb13d736ba5f106670cf778ba1b04ce60210fa3c56774fb650cbdefe9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.08863",
    "kind": "arxiv",
    "version": 2
  }
}