Pith Number

pith:VIXI6JHA

pith:2026:VIXI6JHA4KV4M252GIISITSEUK

not attested not anchored not stored refs pending

Top-dimensional rational cohomology of the congruence subgroup $\Gamma_{0,n}^+(p)$

Tatiana Abdelnaim

arxiv:2605.23526 v1 · 2026-05-22 · math.AT · 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{VIXI6JHA4KV4M252GIISITSEUK}

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	2026-05-25T02:01:59.355526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa2e8f24e0e2abc66bba3211244e44a289c8352528252058ad51ce16fa1a82c5

Aliases

arxiv: 2605.23526 · arxiv_version: 2605.23526v1 · doi: 10.48550/arxiv.2605.23526 · pith_short_12: VIXI6JHA4KV4 · pith_short_16: VIXI6JHA4KV4M252 · pith_short_8: VIXI6JHA

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/VIXI6JHA4KV4M252GIISITSEUK \
  | 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: aa2e8f24e0e2abc66bba3211244e44a289c8352528252058ad51ce16fa1a82c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3135d4e3c830879a6d4a2d2ef3632182e40a5cbb9921e3a8890eabcd3e1124e",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2026-05-22T11:42:34Z",
    "title_canon_sha256": "c53035bb059e8adc9430b3a551ce2924a43f3e7970b66747ac6b4f59a32800a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23526",
    "kind": "arxiv",
    "version": 1
  }
}