Pith Number

pith:ESIZXWHU

pith:2017:ESIZXWHURWHUHNUHUAICY7KH5J

not attested not anchored not stored refs pending

Connectedness and Lyubeznik numbers

Emily Witt, Luis N\'u\~nez-Betancourt, Sandra Spiroff

arxiv:1711.03655 v1 · 2017-11-10 · 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{ESIZXWHURWHUHNUHUAICY7KH5J}

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	2026-05-18T00:30:51.772865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24919bd8f48d8f43b687a0102c7d47ea7b89c2e0d1c8ddffe7a0fef60ec9afbe

Aliases

arxiv: 1711.03655 · arxiv_version: 1711.03655v1 · doi: 10.48550/arxiv.1711.03655 · pith_short_12: ESIZXWHURWHU · pith_short_16: ESIZXWHURWHUHNUH · pith_short_8: ESIZXWHU

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/ESIZXWHURWHUHNUHUAICY7KH5J \
  | 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: 24919bd8f48d8f43b687a0102c7d47ea7b89c2e0d1c8ddffe7a0fef60ec9afbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8471891820d2fed52a4f12c742fffc93150a3c97f49684f5f958487ed0152ff4",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-11-10T00:30:54Z",
    "title_canon_sha256": "489f078d3a98c10d46f7ac09ad3f98af119e702f1887bd8b261c1d99888692bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.03655",
    "kind": "arxiv",
    "version": 1
  }
}