Pith Number

pith:HWXYQ5Y6

pith:2017:HWXYQ5Y6I3CDT7XIT67N4FJNKQ

not attested not anchored not stored refs pending

Wilf's conjecture for numerical semigroups with large second generator

Dario Spirito

arxiv:1710.09245 v1 · 2017-10-25 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HWXYQ5Y6I3CDT7XIT67N4FJNKQ}

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	2026-05-18T00:31:59.984100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3daf88771e46c439fee89fbede152d54208b6fcf93b1a0cb9bb16dbd8660bada

Aliases

arxiv: 1710.09245 · arxiv_version: 1710.09245v1 · doi: 10.48550/arxiv.1710.09245 · pith_short_12: HWXYQ5Y6I3CD · pith_short_16: HWXYQ5Y6I3CDT7XI · pith_short_8: HWXYQ5Y6

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/HWXYQ5Y6I3CDT7XIT67N4FJNKQ \
  | 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: 3daf88771e46c439fee89fbede152d54208b6fcf93b1a0cb9bb16dbd8660bada

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35ef106dec9768570787bed98438802ca9f6ba68523173788836f077d2471bcf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-10-25T14:10:04Z",
    "title_canon_sha256": "1ce8430e9177917ba3c5808bb23cde824730ffcf9eb26e201c6d554de3d7963b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.09245",
    "kind": "arxiv",
    "version": 1
  }
}