Pith Number

pith:U6W2F3AP

pith:2017:U6W2F3APGY4EAIGI7YL35ZQ2FG

not attested not anchored not stored refs pending

Flat families of point schemes for connected graded algebras

Alex Chirvasitu, Ryo Kanda

arxiv:1709.08757 v1 · 2017-09-25 · math.RA · math.AG · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U6W2F3APGY4EAIGI7YL35ZQ2FG}

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	2026-05-18T00:34:21.950290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7ada2ec0f36384020c8fe17bee61a29a9c0a846c7a13aed36442d25147b6797

Aliases

arxiv: 1709.08757 · arxiv_version: 1709.08757v1 · doi: 10.48550/arxiv.1709.08757 · pith_short_12: U6W2F3APGY4E · pith_short_16: U6W2F3APGY4EAIGI · pith_short_8: U6W2F3AP

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/U6W2F3APGY4EAIGI7YL35ZQ2FG \
  | 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: a7ada2ec0f36384020c8fe17bee61a29a9c0a846c7a13aed36442d25147b6797

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "370d037bbf551c7c8febc61bf3c1813b656d1d75dcee67333537813f63962e22",
    "cross_cats_sorted": [
      "math.AG",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-09-25T23:53:19Z",
    "title_canon_sha256": "3f0dea2697e5e0da95d4f5c02bb6bb2dfb9e6250c35a58b4bdf24eb99e444be5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08757",
    "kind": "arxiv",
    "version": 1
  }
}