Pith Number

pith:GOIV3M23

pith:2018:GOIV3M23VKYHXOOXJ44E6UX2V5

not attested not anchored not stored refs pending

Decomposition of persistence modules

Magnus Bakke Botnan, William Crawley-Boevey

arxiv:1811.08946 v3 · 2018-11-21 · math.RT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GOIV3M23VKYHXOOXJ44E6UX2V5}

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

Modules over posets: commutative and homological algebra

Receipt and verification

First computed	2026-07-05T00:09:43.775287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33915db35baab07bb9d74f384f52faaf61448c7c0e00eeb3e3c6d09ba784ce94

Aliases

arxiv: 1811.08946 · arxiv_version: 1811.08946v3 · doi: 10.48550/arxiv.1811.08946 · pith_short_12: GOIV3M23VKYH · pith_short_16: GOIV3M23VKYHXOOX · pith_short_8: GOIV3M23

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/GOIV3M23VKYHXOOXJ44E6UX2V5 \
  | 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: 33915db35baab07bb9d74f384f52faaf61448c7c0e00eeb3e3c6d09ba784ce94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9432c579d6800adaf03d66acfacd18939e2faa4bc4851f50bff43613bca671ae",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2018-11-21T20:54:39Z",
    "title_canon_sha256": "abedae7ae29f013003e4ca14d4f0e42a81a464919b224f2af6efa8e7460637dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.08946",
    "kind": "arxiv",
    "version": 3
  }
}