Pith Number

pith:7UQIF7LV

pith:2012:7UQIF7LVUXDVAINHZFEGXYTELZ

not attested not anchored not stored refs pending

Asymptotic Growth of Associated Primes of Certain Graph Ideals

Sarah Wolff

arxiv:1204.3315 v2 · 2012-04-15 · math.AC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7UQIF7LVUXDVAINHZFEGXYTELZ}

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	2026-05-18T03:39:06.347219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd2082fd75a5c75021a7c9486be2645e4189401ddbab63c0898ed78364ce13e9

Aliases

arxiv: 1204.3315 · arxiv_version: 1204.3315v2 · doi: 10.48550/arxiv.1204.3315 · pith_short_12: 7UQIF7LVUXDV · pith_short_16: 7UQIF7LVUXDVAINH · pith_short_8: 7UQIF7LV

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/7UQIF7LVUXDVAINHZFEGXYTELZ \
  | 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: fd2082fd75a5c75021a7c9486be2645e4189401ddbab63c0898ed78364ce13e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f8dcccbfb520c9d662b11d667a35504f600b79e54863739d9e17299a99409d7",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-04-15T19:28:43Z",
    "title_canon_sha256": "804499340df9156d49020b3c594bf0caccf3b68cf8aa976000e0ae99305389db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3315",
    "kind": "arxiv",
    "version": 2
  }
}