Pith Number

pith:TC5VWXOP

pith:2026:TC5VWXOP6NKU6XNQJKIV3BZAFN

not attested not anchored not stored refs pending

The complex property of the boundary operator on simplicial complexes

Matthias Keller, Philipp Bartmann

arxiv:2605.21069 v1 · 2026-05-20 · math.FA · math.GT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TC5VWXOP6NKU6XNQJKIV3BZAFN}

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	2026-05-21T01:05:35.075898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98bb5b5dcff3554f5db04a915d87202b7c93f2bf0a6f002bd5285bb80cdb568c

Aliases

arxiv: 2605.21069 · arxiv_version: 2605.21069v1 · doi: 10.48550/arxiv.2605.21069 · pith_short_12: TC5VWXOP6NKU · pith_short_16: TC5VWXOP6NKU6XNQ · pith_short_8: TC5VWXOP

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/TC5VWXOP6NKU6XNQJKIV3BZAFN \
  | 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: 98bb5b5dcff3554f5db04a915d87202b7c93f2bf0a6f002bd5285bb80cdb568c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d909291b94eed2b735a911d6f8b21b0c57702e42fee10f81e20da235e57030f8",
    "cross_cats_sorted": [
      "math.GT",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-05-20T11:55:46Z",
    "title_canon_sha256": "a6e7c41ae08601f8744a0aa462e103aeb9bcfb79628ff22af6dcf47b73fbc5f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21069",
    "kind": "arxiv",
    "version": 1
  }
}