Pith Number

pith:M66PSXE7

pith:2026:M66PSXE7ISJYXNT6Q6EPSKLTYP

not attested not anchored not stored refs pending

Optimal homological vanishing: cancellation of character sums and Patterson's conjecture over $\mathbb{F}_q[t]$

Zhao Yu Ma

arxiv:2606.26440 v1 · 2026-06-24 · math.NT · math.AT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M66PSXE7ISJYXNT6Q6EPSKLTYP}

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	2026-06-26T00:15:41.292296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67bcf95c9f44938bb67e8788f92973c3e6a476a77f2d72aeda5e4ca0f65d6e1b

Aliases

arxiv: 2606.26440 · arxiv_version: 2606.26440v1 · doi: 10.48550/arxiv.2606.26440 · pith_short_12: M66PSXE7ISJY · pith_short_16: M66PSXE7ISJYXNT6 · pith_short_8: M66PSXE7

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/M66PSXE7ISJYXNT6Q6EPSKLTYP \
  | 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: 67bcf95c9f44938bb67e8788f92973c3e6a476a77f2d72aeda5e4ca0f65d6e1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "547b13e868db6ad797cce93769b4ff3362d0423bb09f55b76661798cb8ae2b62",
    "cross_cats_sorted": [
      "math.AT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-24T23:06:04Z",
    "title_canon_sha256": "6c82686ded390bb771f4b9fc9501e7d424afd9c2ecf5e370080740897d973a51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26440",
    "kind": "arxiv",
    "version": 1
  }
}