Pith Number

pith:5BDRUJHK

pith:2014:5BDRUJHK2WEZ7G3NO3VHFAVELX

not attested not anchored not stored refs pending

Properties of Lyubeznik numbers under localization and polarization

Arindam Banerjee, Kohji Yanagawa, Luis N\'u\~nez-Betancourt

arxiv:1409.7144 v1 · 2014-09-25 · 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{5BDRUJHK2WEZ7G3NO3VHFAVELX}

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	2026-05-18T02:41:59.050097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8471a24ead5899f9b6d76ea7282a45dff73e83fe4623fd34888becd061988e2

Aliases

arxiv: 1409.7144 · arxiv_version: 1409.7144v1 · doi: 10.48550/arxiv.1409.7144 · pith_short_12: 5BDRUJHK2WEZ · pith_short_16: 5BDRUJHK2WEZ7G3N · pith_short_8: 5BDRUJHK

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/5BDRUJHK2WEZ7G3NO3VHFAVELX \
  | 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: e8471a24ead5899f9b6d76ea7282a45dff73e83fe4623fd34888becd061988e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62b268f1ec194ba791301fe7e9b94109637a8c3183b59d8fc86f9a73d22b0b48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-09-25T03:12:34Z",
    "title_canon_sha256": "32919d9b3f162102ea67133a07c3771c8328eb7dc3ac9fedbf5a5115cd3239a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7144",
    "kind": "arxiv",
    "version": 1
  }
}