Pith Number

pith:N4R2MX7O

pith:2026:N4R2MX7OCK7NP5PQU2GAN33QPO

not attested not anchored not stored refs pending

Protected corners and a trichotomy for Han's conjecture

Marco Armenta

arxiv:2607.20849 v1 · 2026-07-23 · math.RT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N4R2MX7OCK7NP5PQU2GAN33QPO}

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	2026-07-24T00:23:38.084768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f23a65fee12bed7f5f0a68c06ef707b872f64d56c333d9ffa77ce6f8ba3f57d

Aliases

arxiv: 2607.20849 · arxiv_version: 2607.20849v1 · doi: 10.48550/arxiv.2607.20849 · pith_short_12: N4R2MX7OCK7N · pith_short_16: N4R2MX7OCK7NP5PQ · pith_short_8: N4R2MX7O

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/N4R2MX7OCK7NP5PQU2GAN33QPO \
  | 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: 6f23a65fee12bed7f5f0a68c06ef707b872f64d56c333d9ffa77ce6f8ba3f57d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9634469b72fd65d1f13da8103a9a4f6bcc555d04af63d45573aa436ca61209e3",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-07-23T02:20:35Z",
    "title_canon_sha256": "708f08831c7c75bed9473fb640fb791675ec590f69fc10802aa2b560501d2e0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.20849",
    "kind": "arxiv",
    "version": 1
  }
}