Pith Number

pith:DTAZTVDX

pith:2012:DTAZTVDX2M36FI3YQ2VLCFCMU7

not attested not anchored not stored refs pending

Persistence and stability properties of powers of ideals

Ayesha Asloob Qureshi, J\"urgen Herzog

arxiv:1208.4684 v2 · 2012-08-23 · 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{DTAZTVDX2M36FI3YQ2VLCFCMU7}

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	2026-05-18T03:46:30.416389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cc199d477d337e2a37886aab1144ca7f8dc244f76b4a1fea192141386fd92ae

Aliases

arxiv: 1208.4684 · arxiv_version: 1208.4684v2 · doi: 10.48550/arxiv.1208.4684 · pith_short_12: DTAZTVDX2M36 · pith_short_16: DTAZTVDX2M36FI3Y · pith_short_8: DTAZTVDX

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/DTAZTVDX2M36FI3YQ2VLCFCMU7 \
  | 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: 1cc199d477d337e2a37886aab1144ca7f8dc244f76b4a1fea192141386fd92ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9340a889dc2182671a26af4aba86e88b60122d0bb04874b9983c544bb429451a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-08-23T08:06:53Z",
    "title_canon_sha256": "b7d02e6843d31bcf8de0a33a389e59f6bc1464e3c360b95dceb57963c1e2a93d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4684",
    "kind": "arxiv",
    "version": 2
  }
}