Pith Number

pith:TZUMHSPD

pith:2026:TZUMHSPDRJIT5VBKXEEATS4IWH

not attested not anchored not stored refs pending

Betti numbers of inductively pierced codes

Alexandra Seceleanu, Hugh Geller, Nora Youngs, Rebecca R.G.

arxiv:2605.24181 v1 · 2026-05-22 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TZUMHSPDRJIT5VBKXEEATS4IWH}

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	2026-05-26T01:02:51.111747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e68c3c9e38a513ed42ab90809cb88b1e463a9b10b9f95e5a647bf785fd996be

Aliases

arxiv: 2605.24181 · arxiv_version: 2605.24181v1 · doi: 10.48550/arxiv.2605.24181 · pith_short_12: TZUMHSPDRJIT · pith_short_16: TZUMHSPDRJIT5VBK · pith_short_8: TZUMHSPD

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/TZUMHSPDRJIT5VBKXEEATS4IWH \
  | 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: 9e68c3c9e38a513ed42ab90809cb88b1e463a9b10b9f95e5a647bf785fd996be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b52ea99d315d31407577e1d052137422827f9f96b31784ec51ce7ca52a0c8e34",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2026-05-22T20:09:06Z",
    "title_canon_sha256": "8ee0ceced1fd7fa9e6978a0b1f53bbca9f610510b86b12815109b0a7b61b443d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.24181",
    "kind": "arxiv",
    "version": 1
  }
}