Pith Number

pith:KZNCDHJW

pith:2023:KZNCDHJWCGS2BYAHT7QL2CXQ64

not attested not anchored not stored refs pending

Exact structures for persistence modules

Benjamin Blanchette, Eric J. Hanson, Thomas Br\"ustle

arxiv:2308.01790 v3 · 2023-08-03 · math.AT · cs.CG · 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{KZNCDHJWCGS2BYAHT7QL2CXQ64}

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

Invariants of persistence modules defined by order-embeddings

Receipt and verification

First computed	2026-07-05T09:56:47.556342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

565a219d3611a5a0e0079fe0bd0af0f715a12b8e1f31f99dc08d73c2a66d8b03

Aliases

arxiv: 2308.01790 · arxiv_version: 2308.01790v3 · doi: 10.48550/arxiv.2308.01790 · pith_short_12: KZNCDHJWCGS2 · pith_short_16: KZNCDHJWCGS2BYAH · pith_short_8: KZNCDHJW

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/KZNCDHJWCGS2BYAHT7QL2CXQ64 \
  | 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: 565a219d3611a5a0e0079fe0bd0af0f715a12b8e1f31f99dc08d73c2a66d8b03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f6c756cbe97828c605e542b0b6e973e103775f876c4f12070207610cb654496",
    "cross_cats_sorted": [
      "cs.CG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2023-08-03T14:39:04Z",
    "title_canon_sha256": "cfff18d847fd8f9db5ed90245c09906aa824915c08543fb3b87ac6d486cb310d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.01790",
    "kind": "arxiv",
    "version": 3
  }
}