Pith Number

pith:7M5ZR7ZG

pith:2025:7M5ZR7ZGSAYDZL5XG4FTL2GW6D

not attested not anchored not stored refs pending

Degree functions of graded families of ideals

Jonathan Monta\~no, Steven Dale Cutkosky

arxiv:2506.05248 v1 · 2025-06-05 · 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{7M5ZR7ZGSAYDZL5XG4FTL2GW6D}

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	2026-07-05T11:16:44.732806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb3b98ff2690303cafb7370b35e8d6f0d61192c6d654610bf43edb8c72a43c83

Aliases

arxiv: 2506.05248 · arxiv_version: 2506.05248v1 · doi: 10.48550/arxiv.2506.05248 · pith_short_12: 7M5ZR7ZGSAYD · pith_short_16: 7M5ZR7ZGSAYDZL5X · pith_short_8: 7M5ZR7ZG

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/7M5ZR7ZGSAYDZL5XG4FTL2GW6D \
  | 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: fb3b98ff2690303cafb7370b35e8d6f0d61192c6d654610bf43edb8c72a43c83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31c7d7a2312dba6c8a50a9bd178a98c51c7d6c04ce3ec250c7f98ebebfb4cae2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2025-06-05T17:09:06Z",
    "title_canon_sha256": "c8da8c0f52abeab053a21f12116a75395d35c22414c48dcc703174bb376b40c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.05248",
    "kind": "arxiv",
    "version": 1
  }
}