Pith Number

pith:C4SO64F3

pith:2023:C4SO64F3HN2ONROMKGGOB56WRB

not attested not anchored not stored refs pending

K-Theory of Multi-parameter Persistence Modules: Additivity

Anna Schenfisch, Ryan E. Grady

arxiv:2306.06540 v1 · 2023-06-10 · math.AT · cs.CG · math.CT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C4SO64F3HN2ONROMKGGOB56WRB}

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	2026-07-05T09:40:14.177580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1724ef70bb3b74e6c5cc518ce0f7d68872777e11362a9fdf4a055864a0224d68

Aliases

arxiv: 2306.06540 · arxiv_version: 2306.06540v1 · doi: 10.48550/arxiv.2306.06540 · pith_short_12: C4SO64F3HN2O · pith_short_16: C4SO64F3HN2ONROM · pith_short_8: C4SO64F3

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/C4SO64F3HN2ONROMKGGOB56WRB \
  | 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: 1724ef70bb3b74e6c5cc518ce0f7d68872777e11362a9fdf4a055864a0224d68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "244af609cbdff9ae7c7a9ad9315fd26fafcb31e13c39496eb78affe830c29eac",
    "cross_cats_sorted": [
      "cs.CG",
      "math.CT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2023-06-10T23:38:19Z",
    "title_canon_sha256": "5bd6fb02f426df49dc36d562a1867bb53f06471b5faf96753c5d15e717375cbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.06540",
    "kind": "arxiv",
    "version": 1
  }
}