Pith Number

pith:5TO3XDUR

pith:2026:5TO3XDURSY2WHR6BAL2QCZ2LTQ

not attested not anchored not stored refs pending

The NF-operator and the NF-Numbers of Simplicial Complexes

Bilal Ahmad Rather

arxiv:2605.30781 v1 · 2026-05-29 · math.CO · cs.DM · 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{5TO3XDURSY2WHR6BAL2QCZ2LTQ}

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	2026-06-01T01:03:16.152894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecddbb8e91963563c7c102f501674b9c2c110cf19d81b941fcb51a9a56c44fd2

Aliases

arxiv: 2605.30781 · arxiv_version: 2605.30781v1 · doi: 10.48550/arxiv.2605.30781 · pith_short_12: 5TO3XDURSY2W · pith_short_16: 5TO3XDURSY2WHR6B · pith_short_8: 5TO3XDUR

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/5TO3XDURSY2WHR6BAL2QCZ2LTQ \
  | 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: ecddbb8e91963563c7c102f501674b9c2c110cf19d81b941fcb51a9a56c44fd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "611e838db9b2587548ba20350117d80ce97d72e993c6bffccea45a0a9d0bd6b8",
    "cross_cats_sorted": [
      "cs.DM",
      "math.AC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-29T03:12:33Z",
    "title_canon_sha256": "f471609565d214a2eef535d8e7b1a16b011aa21aac3753be61d27471ea980c4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.30781",
    "kind": "arxiv",
    "version": 1
  }
}