Pith Number

pith:D3YM65N6

pith:2015:D3YM65N6TOJ5QMMMIYHZVMSHAW

not attested not anchored not stored refs pending

Classification of two-dimensional algebraic projective semigroups

Duo Li

arxiv:1509.02752 v1 · 2015-09-09 · 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{D3YM65N6TOJ5QMMMIYHZVMSHAW}

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	2026-05-18T01:33:33.342899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ef0cf75be9b93d8318c460f9ab24705ad4891d1ad0875ed8bed8dc79169c39e

Aliases

arxiv: 1509.02752 · arxiv_version: 1509.02752v1 · doi: 10.48550/arxiv.1509.02752 · pith_short_12: D3YM65N6TOJ5 · pith_short_16: D3YM65N6TOJ5QMMM · pith_short_8: D3YM65N6

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/D3YM65N6TOJ5QMMMIYHZVMSHAW \
  | 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: 1ef0cf75be9b93d8318c460f9ab24705ad4891d1ad0875ed8bed8dc79169c39e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48a66e508a5f8451b56f276c466467f10bf62ca83159d394171af3d770b688b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-09-09T12:40:28Z",
    "title_canon_sha256": "c093d4c93c7cb89f48482439e03f841bfcebcbf7af780733636fbff8f789878b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02752",
    "kind": "arxiv",
    "version": 1
  }
}