Pith Number

pith:DVLILGC5

pith:2017:DVLILGC5M6FNDCM4ATVMZKQ5CX

not attested not anchored not stored refs pending

Minimal presentations of shifted numerical monoids

Brian Wissman, Christopher O'Neill, Felix Gotti, Jesse Horton, Mesa Williams, Rebecca Conaway, Roberto Pelayo

arxiv:1701.08555 v1 · 2017-01-30 · 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{DVLILGC5M6FNDCM4ATVMZKQ5CX}

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	2026-05-18T00:08:16.271441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d5685985d678ad1899c04eaccaa1d15e28e10d7f15ef56bc14c846e36db128e

Aliases

arxiv: 1701.08555 · arxiv_version: 1701.08555v1 · doi: 10.48550/arxiv.1701.08555 · pith_short_12: DVLILGC5M6FN · pith_short_16: DVLILGC5M6FNDCM4 · pith_short_8: DVLILGC5

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/DVLILGC5M6FNDCM4ATVMZKQ5CX \
  | 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: 1d5685985d678ad1899c04eaccaa1d15e28e10d7f15ef56bc14c846e36db128e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17ee6763aa7a92a178f33139f5b34484091c2fbd9fea396758a0e879a60b0aba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-01-30T11:38:18Z",
    "title_canon_sha256": "796da64ff63d413609d2f94bedfb99cc4196152ab6f2afd20d1bed59c9726983"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.08555",
    "kind": "arxiv",
    "version": 1
  }
}