Pith Number

pith:3MCQVUPY

pith:2010:3MCQVUPYREOAENHOBVYCJX4DZC

not attested not anchored not stored refs pending

Gr\"obner bases of contraction ideals

Takafumi Shibuta

arxiv:1010.5768 v2 · 2010-10-27 · 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{3MCQVUPYREOAENHOBVYCJX4DZC}

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	2026-05-18T04:37:09.842423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db050ad1f8891c0234ee0d7024df83c8b4994a5ae76ed99f7dd59a6f42abf5f3

Aliases

arxiv: 1010.5768 · arxiv_version: 1010.5768v2 · doi: 10.48550/arxiv.1010.5768 · pith_short_12: 3MCQVUPYREOA · pith_short_16: 3MCQVUPYREOAENHO · pith_short_8: 3MCQVUPY

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/3MCQVUPYREOAENHOBVYCJX4DZC \
  | 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: db050ad1f8891c0234ee0d7024df83c8b4994a5ae76ed99f7dd59a6f42abf5f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0153cecbda193852ec16b3234b4668c26316e377696878e2f50f96fe9d9a7027",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-10-27T19:17:16Z",
    "title_canon_sha256": "c2a5ad29645db7f3cf0102a0ad0a216f611efdd285a1c366f41873cfe82eff4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5768",
    "kind": "arxiv",
    "version": 2
  }
}