Pith Number

pith:KCPXZY4B

pith:2017:KCPXZY4BJTPTYMUOTBE4HQOQGX

not attested not anchored not stored refs pending

Support and vanishing for non-Noetherian rings and tensor triangulated categories

William T. Sanders

arxiv:1710.10199 v1 · 2017-10-27 · math.AC · math.CT · math.KT · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KCPXZY4BJTPTYMUOTBE4HQOQGX}

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.

Cited by

1 paper in Pith

The importance of being isolated

Receipt and verification

First computed	2026-05-18T00:31:54.544213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

509f7ce3814cdf3c328e9849c3c1d035ec70a965a6af89924692de48af331f35

Aliases

arxiv: 1710.10199 · arxiv_version: 1710.10199v1 · doi: 10.48550/arxiv.1710.10199 · pith_short_12: KCPXZY4BJTPT · pith_short_16: KCPXZY4BJTPTYMUO · pith_short_8: KCPXZY4B

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/KCPXZY4BJTPTYMUOTBE4HQOQGX \
  | 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: 509f7ce3814cdf3c328e9849c3c1d035ec70a965a6af89924692de48af331f35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9c8553674df4b76af4d8401a38523b02a7c4f8afaef963334e820e789db43b9",
    "cross_cats_sorted": [
      "math.CT",
      "math.KT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-10-27T15:30:45Z",
    "title_canon_sha256": "1c66e8b2116375ea119b63dfad0914ca5cacbb5d285bd5c50521590238444f72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.10199",
    "kind": "arxiv",
    "version": 1
  }
}