Pith Number

pith:2IPBFHDG

pith:2014:2IPBFHDGZYOKRXWG4MCYTMXJI3

not attested not anchored not stored refs pending

A survey on the Lyubeznik numbers

Emily E. Witt, Luis N\'u\~nez-Betancourt, Wenliang Zhang

arxiv:1406.7590 v1 · 2014-06-30 · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2IPBFHDGZYOKRXWG4MCYTMXJI3}

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	2026-05-18T02:48:44.682844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d21e129c66ce1ca8dec6e30589b2e946dd5c498ff24aad90d92a8df5c5ee941d

Aliases

arxiv: 1406.7590 · arxiv_version: 1406.7590v1 · doi: 10.48550/arxiv.1406.7590 · pith_short_12: 2IPBFHDGZYOK · pith_short_16: 2IPBFHDGZYOKRXWG · pith_short_8: 2IPBFHDG

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/2IPBFHDGZYOKRXWG4MCYTMXJI3 \
  | 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: d21e129c66ce1ca8dec6e30589b2e946dd5c498ff24aad90d92a8df5c5ee941d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2af2ae2a85fb6ea921ca87cd858efff0bb3dfcb9b87b2d10a83434742a7fef88",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-06-30T03:06:07Z",
    "title_canon_sha256": "c2ae0db58cd476be134ea9b42f35f99f596875e73ef997576b2d26c95e5b27e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.7590",
    "kind": "arxiv",
    "version": 1
  }
}