Pith Number

pith:S4VYPSAD

pith:2026:S4VYPSADUBX6PJSCVMJANFIY2V

not attested not anchored not stored refs pending

From $(n+1)$-term subcategories to $(n+1)$-term complexes

Bin Zhu, Yu Zhou, Zhaotai Zhang

arxiv:2607.06960 v1 · 2026-07-08 · math.RT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S4VYPSADUBX6PJSCVMJANFIY2V}

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	2026-07-09T00:19:41.210064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

972b87c803a06fe7a642ab12069518d55f5daf9f1352a0a967271f2629d8e4ee

Aliases

arxiv: 2607.06960 · arxiv_version: 2607.06960v1 · doi: 10.48550/arxiv.2607.06960 · pith_short_12: S4VYPSADUBX6 · pith_short_16: S4VYPSADUBX6PJSC · pith_short_8: S4VYPSAD

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/S4VYPSADUBX6PJSCVMJANFIY2V \
  | 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: 972b87c803a06fe7a642ab12069518d55f5daf9f1352a0a967271f2629d8e4ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bb3be68d470f4e931cc5e92e03f71271c35723baef19c95af207f22a54df736",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-07-08T03:37:57Z",
    "title_canon_sha256": "a3531ea58ef05c7d2cdb66f8ac653768230cc3e042b52239b93b7f49f50e8121"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06960",
    "kind": "arxiv",
    "version": 1
  }
}