Pith Number

pith:ASJGDQDD

pith:2012:ASJGDQDDQG5KHAELMEVKUVIBBC

not attested not anchored not stored refs pending

Special cohomology classes for modular Galois representations

Benjamin Howard

arxiv:1202.6355 v1 · 2012-02-28 · 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{ASJGDQDDQG5KHAELMEVKUVIBBC}

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	2026-05-18T04:01:13.590735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

049261c06381baa3808b612aaa550108bed01a8c08dcb3f0ecdacf8cbf34ea29

Aliases

arxiv: 1202.6355 · arxiv_version: 1202.6355v1 · doi: 10.48550/arxiv.1202.6355 · pith_short_12: ASJGDQDDQG5K · pith_short_16: ASJGDQDDQG5KHAEL · pith_short_8: ASJGDQDD

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/ASJGDQDDQG5KHAELMEVKUVIBBC \
  | 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: 049261c06381baa3808b612aaa550108bed01a8c08dcb3f0ecdacf8cbf34ea29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e42e64b5cb95ec82ecf0c2a208e325b3d57abaecb5fb689c669bf9584a8bb96",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-02-28T20:47:35Z",
    "title_canon_sha256": "3631c6a512e2225b287379b42207a6c66a26e309c69dcff8bbcc734dc95a24c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.6355",
    "kind": "arxiv",
    "version": 1
  }
}