Pith Number

pith:GNCERMS2

pith:2025:GNCERMS26KJWVPEMBCQ5J4G4V5

not attested not anchored not stored refs pending

$RO(C_2\times C_2)$-graded cohomology ring of a point and applications

Bill Deng, Mircea Voineagu

arxiv:2502.00956 v2 · 2025-02-02 · math.AT · math.AG · 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{GNCERMS26KJWVPEMBCQ5J4G4V5}

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	2026-05-29T01:04:51.850879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

334448b25af2936abc8c08a1d4f0dcaf522cfac527f4c0cc346a9ca03b1522d7

Aliases

arxiv: 2502.00956 · arxiv_version: 2502.00956v2 · doi: 10.48550/arxiv.2502.00956 · pith_short_12: GNCERMS26KJW · pith_short_16: GNCERMS26KJWVPEM · pith_short_8: GNCERMS2

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/GNCERMS26KJWVPEMBCQ5J4G4V5 \
  | 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: 334448b25af2936abc8c08a1d4f0dcaf522cfac527f4c0cc346a9ca03b1522d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85e168fc0ce42bb9740faf473dc47d81147dd56195bdf85c0b619647d98dff36",
    "cross_cats_sorted": [
      "math.AG",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2025-02-02T23:20:56Z",
    "title_canon_sha256": "7a5d3eda783212bd087e9d86176ecb9c4a6d9e8ef3196e88213d58b143b0bfd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.00956",
    "kind": "arxiv",
    "version": 2
  }
}