Pith Number

pith:PN367MKK

pith:2024:PN367MKKNS6NT553YA2WH2LA2N

not attested not anchored not stored refs pending

Discrete Morse theory for open complexes

Kevin P. Knudson, Nicholas A. Scoville

arxiv:2402.12116 v2 · 2024-02-19 · 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{PN367MKKNS6NT553YA2WH2LA2N}

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

A continuum of K\"unneth theorems for persistence modules

Receipt and verification

First computed	2026-06-02T03:04:30.842163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b77efb14a6cbcd9f7bbc03563e960d36e9e41506a634fed9bf7b3db32b86d7a

Aliases

arxiv: 2402.12116 · arxiv_version: 2402.12116v2 · doi: 10.48550/arxiv.2402.12116 · pith_short_12: PN367MKKNS6N · pith_short_16: PN367MKKNS6NT553 · pith_short_8: PN367MKK

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/PN367MKKNS6NT553YA2WH2LA2N \
  | 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: 7b77efb14a6cbcd9f7bbc03563e960d36e9e41506a634fed9bf7b3db32b86d7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "375028fb6a23ecc1e011be8188107c53bcd195e30b5bda0d10238b5bb9c60fb4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2024-02-19T13:11:10Z",
    "title_canon_sha256": "1888ab2dcf1d3d4daab6c28b5428e8d89f7c1e22092352ec247ae4a72aa1f1aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.12116",
    "kind": "arxiv",
    "version": 2
  }
}