Pith Number

pith:RUI5YZPO

pith:2025:RUI5YZPO3UBS4AIRJNTSWYEUEW

not attested not anchored not stored refs pending

On the second partial Global Euler-Poincare characteristics for Galois cohomology

Yufan Luo

arxiv:2509.03218 v2 · 2025-09-03 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RUI5YZPO3UBS4AIRJNTSWYEUEW}

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	2026-06-19T16:12:47.515496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d11dc65eedd032e01114b672b609425b4786ee554e469b26c009ad4e58622ae

Aliases

arxiv: 2509.03218 · arxiv_version: 2509.03218v2 · doi: 10.48550/arxiv.2509.03218 · pith_short_12: RUI5YZPO3UBS · pith_short_16: RUI5YZPO3UBS4AIR · pith_short_8: RUI5YZPO

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/RUI5YZPO3UBS4AIRJNTSWYEUEW \
  | 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: 8d11dc65eedd032e01114b672b609425b4786ee554e469b26c009ad4e58622ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "149db4e9a7fb1298404c25b7f74ff1084cad8ffb93ca1d0f6fa20faeda65e4c7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-09-03T11:12:39Z",
    "title_canon_sha256": "1073396ecceffb04f9e056293c4a1d060ac86280ecbb2219a1d5c42ddb42837b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.03218",
    "kind": "arxiv",
    "version": 2
  }
}