Pith Number

pith:EUQ5LL4K

pith:2018:EUQ5LL4K2DYQ42GGHSMP2B6MCX

not attested not anchored not stored refs pending

Demazure construction for Z^n-graded Krull domains

Ayaka Echizenya, Kazuhiko Kurano, Yusuke Arai

arxiv:1802.09693 v3 · 2018-02-27 · math.AC · 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{EUQ5LL4K2DYQ42GGHSMP2B6MCX}

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	2026-05-18T00:11:17.808161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2521d5af8ad0f10e68c63c98fd07cc15c5204fe8ba5c148912b9447565fe9950

Aliases

arxiv: 1802.09693 · arxiv_version: 1802.09693v3 · doi: 10.48550/arxiv.1802.09693 · pith_short_12: EUQ5LL4K2DYQ · pith_short_16: EUQ5LL4K2DYQ42GG · pith_short_8: EUQ5LL4K

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/EUQ5LL4K2DYQ42GGHSMP2B6MCX \
  | 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: 2521d5af8ad0f10e68c63c98fd07cc15c5204fe8ba5c148912b9447565fe9950

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3de5799c6e4b87ffc0f389d95059e0ad329b66f2b21d3e9c6649710e6b41e9a3",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-02-27T02:40:58Z",
    "title_canon_sha256": "7896bd876163f2b2aa29bd0d4ebdf486806d14f51f896e3e2a2847d64d7d277f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.09693",
    "kind": "arxiv",
    "version": 3
  }
}