Pith Number

pith:3GJMS4JL

pith:2023:3GJMS4JLXA2HTO7U3EM6XTEZZE

not attested not anchored not stored refs pending

Resurgence number of graded families of ideals

Arvind Kumar, Hop D. Nguyen, T\`ai Huy H\`a, Thai Thanh Nguyen

arxiv:2308.16410 v1 · 2023-08-31 · math.AC · 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{3GJMS4JLXA2HTO7U3EM6XTEZZE}

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	2026-06-19T16:12:43.887365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d992c9712bb83479bbf4d919ebcc99c927ec0b152683bb4eb661669d50056b83

Aliases

arxiv: 2308.16410 · arxiv_version: 2308.16410v1 · doi: 10.48550/arxiv.2308.16410 · pith_short_12: 3GJMS4JLXA2H · pith_short_16: 3GJMS4JLXA2HTO7U · pith_short_8: 3GJMS4JL

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/3GJMS4JLXA2HTO7U3EM6XTEZZE \
  | 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: d992c9712bb83479bbf4d919ebcc99c927ec0b152683bb4eb661669d50056b83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa457146a7cfcb355249a7ddd475b5fea5a86b2e4ac642d8faac97c180b1b4b5",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2023-08-31T02:48:16Z",
    "title_canon_sha256": "16da71928a0ed0248cf0059ae559e8122c27f7ece57605bea2cf1d5f7adaec95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.16410",
    "kind": "arxiv",
    "version": 1
  }
}