Pith Number

pith:KIDRXLMR

pith:2014:KIDRXLMRSF2LGMXVL6IPAYDBIF

not attested not anchored not stored refs pending

Frobenius Splitting in Commutative Algebra

Karen E. Smith, Wenliang Zhang

arxiv:1409.1169 v1 · 2014-09-03 · 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{KIDRXLMRSF2LGMXVL6IPAYDBIF}

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	2026-05-18T02:43:37.525815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52071bad919174b332f55f90f0606141636ae243bcbbb8e774540431d801638f

Aliases

arxiv: 1409.1169 · arxiv_version: 1409.1169v1 · doi: 10.48550/arxiv.1409.1169 · pith_short_12: KIDRXLMRSF2L · pith_short_16: KIDRXLMRSF2LGMXV · pith_short_8: KIDRXLMR

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/KIDRXLMRSF2LGMXVL6IPAYDBIF \
  | 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: 52071bad919174b332f55f90f0606141636ae243bcbbb8e774540431d801638f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f788cfe4c4b8a2321dd8d5dbc4185f1ff3208ea5cd4575bb1eee8961c7e9a98b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-09-03T16:58:44Z",
    "title_canon_sha256": "3fbabe9cf0709b257eb05ba4eaa236572af926207b89907213f714ea5d761f72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.1169",
    "kind": "arxiv",
    "version": 1
  }
}