Pith Number

pith:EI4NAMXA

pith:2017:EI4NAMXAC3Z7NMTNJ4YRXKRMAX

not attested not anchored not stored refs pending

Infinite dimensional excellent rings

Hiromu Tanaka

arxiv:1706.02491 v2 · 2017-06-08 · 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{EI4NAMXAC3Z7NMTNJ4YRXKRMAX}

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	2026-05-18T00:16:45.273070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2238d032e016f3f6b26d4f311baa2c05fde3972f7dc6bebe67189719b4309a3c

Aliases

arxiv: 1706.02491 · arxiv_version: 1706.02491v2 · doi: 10.48550/arxiv.1706.02491 · pith_short_12: EI4NAMXAC3Z7 · pith_short_16: EI4NAMXAC3Z7NMTN · pith_short_8: EI4NAMXA

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/EI4NAMXAC3Z7NMTNJ4YRXKRMAX \
  | 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: 2238d032e016f3f6b26d4f311baa2c05fde3972f7dc6bebe67189719b4309a3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f40a62897e9786012cc6abc1ac56ee41b971019b0c2092db2993d5d9039bbc4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-06-08T09:32:22Z",
    "title_canon_sha256": "0bd1abdfd88e2b89defe932d06d278a513869bd3df209bc58f34c02e35d39c8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.02491",
    "kind": "arxiv",
    "version": 2
  }
}