Pith Number

pith:5IP6SDKC

pith:2006:5IP6SDKC6KHLPDGYVAZROMUB3S

not attested not anchored not stored refs pending

Ratliff-Rush Filtrations associated with ideals and modules over a Noetherian ring

Fahed Zulfeqarr, Tony J. Puthenpurakal

arxiv:math/0608498 v2 · 2006-08-20 · 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{5IP6SDKC6KHLPDGYVAZROMUB3S}

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	2026-07-04T14:58:42.074832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea1fe90d42f28eb78cd8a833173281dcb4666909472cbd8d535bb44f82d449af

Aliases

arxiv: math/0608498 · arxiv_version: math/0608498v2 · doi: 10.48550/arxiv.math/0608498 · pith_short_12: 5IP6SDKC6KHL · pith_short_16: 5IP6SDKC6KHLPDGY · pith_short_8: 5IP6SDKC

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/5IP6SDKC6KHLPDGYVAZROMUB3S \
  | 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: ea1fe90d42f28eb78cd8a833173281dcb4666909472cbd8d535bb44f82d449af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fda383a9a5f8398c2d5ae2fa07e45359b20947cf3d1b9989cceb67a4f10c0527",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AC",
    "submitted_at": "2006-08-20T09:53:33Z",
    "title_canon_sha256": "669e225d71fec13db633eb8fbfce8cd2aea40e12f5f7afb9712c7c7275cd4765"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0608498",
    "kind": "arxiv",
    "version": 2
  }
}