Pith Number

pith:PWWYKWWD

pith:2018:PWWYKWWDSYK6DNQYCVEOL2WQJ2

not attested not anchored not stored refs pending

Combinatorial duality for Poincar\'e series, polytopes and invariants of plumbed 3-manifolds

Andr\'as N\'emethi, J\'anos Nagy, Tam\'as L\'aszl\'o

arxiv:1805.03457 v2 · 2018-05-09 · 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{PWWYKWWDSYK6DNQYCVEOL2WQJ2}

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	2026-05-18T00:12:24.279494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dad855ac39615e1b6181548e5ead04e96ddf908f7d6108125f1177aff493f94

Aliases

arxiv: 1805.03457 · arxiv_version: 1805.03457v2 · doi: 10.48550/arxiv.1805.03457 · pith_short_12: PWWYKWWDSYK6 · pith_short_16: PWWYKWWDSYK6DNQY · pith_short_8: PWWYKWWD

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/PWWYKWWDSYK6DNQYCVEOL2WQJ2 \
  | 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: 7dad855ac39615e1b6181548e5ead04e96ddf908f7d6108125f1177aff493f94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b977b165a1f1ec63ca803f779f47021477ebbbab1e50dd8c20059059e4d30ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-05-09T11:14:29Z",
    "title_canon_sha256": "471cdfe6c67fcb62b680c6679c969cb2fd430b590b78b0deffdc0195af86cf13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.03457",
    "kind": "arxiv",
    "version": 2
  }
}