Pith Number

pith:5O23NUFG

pith:2026:5O23NUFGXF7DZDF5GUT2PVX66A

not attested not anchored not stored refs pending

A Serre type vanishing property of the twisted primitive cohomology

Hao Zhuang

arxiv:2605.21410 v1 · 2026-05-20 · math.SG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5O23NUFGXF7DZDF5GUT2PVX66A}

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	2026-05-21T02:05:33.372730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebb5b6d0a6b97e3c8cbd3527a7d6fef006457dc5ae8ac7668aa49e2eeccd6d56

Aliases

arxiv: 2605.21410 · arxiv_version: 2605.21410v1 · doi: 10.48550/arxiv.2605.21410 · pith_short_12: 5O23NUFGXF7D · pith_short_16: 5O23NUFGXF7DZDF5 · pith_short_8: 5O23NUFG

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/5O23NUFGXF7DZDF5GUT2PVX66A \
  | 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: ebb5b6d0a6b97e3c8cbd3527a7d6fef006457dc5ae8ac7668aa49e2eeccd6d56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf9f434250088a86c1ab19e4a77b564f176fb87ff16af5a629b1abb24ae23114",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2026-05-20T17:08:18Z",
    "title_canon_sha256": "2cdf56d8acd40dac9166a41415d5c90352455ccebc992f08c57fffe639b85d59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21410",
    "kind": "arxiv",
    "version": 1
  }
}