Pith Number

pith:FAH7HJ43

pith:2018:FAH7HJ43HMV3YONE44X3XZBL4Z

not attested not anchored not stored refs pending

Commutative algebraic monoid structures on affine spaces

Ivan Arzhantsev, Sergey Bragin, Yulia Zaitseva

arxiv:1809.05291 v2 · 2018-09-14 · 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{FAH7HJ43HMV3YONE44X3XZBL4Z}

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.

Cited by

1 paper in Pith

Additive actions on complete toric surfaces

Receipt and verification

First computed	2026-07-05T01:33:15.895734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

280ff3a79b3b2bbc39a4e72fbbe42be6742c618cbcf124bd0d8d3813d33e829e

Aliases

arxiv: 1809.05291 · arxiv_version: 1809.05291v2 · doi: 10.48550/arxiv.1809.05291 · pith_short_12: FAH7HJ43HMV3 · pith_short_16: FAH7HJ43HMV3YONE · pith_short_8: FAH7HJ43

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/FAH7HJ43HMV3YONE44X3XZBL4Z \
  | 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: 280ff3a79b3b2bbc39a4e72fbbe42be6742c618cbcf124bd0d8d3813d33e829e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e41b0b73ca4bcf5b70176ebde8a0b9d182733a89e8779475315a95182f25e19",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-09-14T07:53:47Z",
    "title_canon_sha256": "e60b6c58dcec967793c603affefd553575237a4a0c6aa6d0706c9c9a776d5eba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.05291",
    "kind": "arxiv",
    "version": 2
  }
}