Pith Number

pith:LTDM5YT7

pith:2011:LTDM5YT7CIKGMFY3APXCNNFH4Q

not attested not anchored not stored refs pending

Differential Krull dimension in differential polynomial extensions

Ilya Smirnov

arxiv:1103.0046 v1 · 2011-02-28 · 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{LTDM5YT7CIKGMFY3APXCNNFH4Q}

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	2026-05-18T04:27:37.494615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cc6cee27f121466171b03ee26b4a7e427bc81b0d8fdb5b67b145719b1d4dc5b

Aliases

arxiv: 1103.0046 · arxiv_version: 1103.0046v1 · doi: 10.48550/arxiv.1103.0046 · pith_short_12: LTDM5YT7CIKG · pith_short_16: LTDM5YT7CIKGMFY3 · pith_short_8: LTDM5YT7

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/LTDM5YT7CIKGMFY3APXCNNFH4Q \
  | 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: 5cc6cee27f121466171b03ee26b4a7e427bc81b0d8fdb5b67b145719b1d4dc5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5040d820a402b976a080cf5143453a18e57919ed4ab162a7d45478638e7e5051",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-02-28T22:45:57Z",
    "title_canon_sha256": "9ec4878eba76467b5b2f1d5ea745bd3f60a18f371d12547c4aaf49c738953b63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0046",
    "kind": "arxiv",
    "version": 1
  }
}