Pith Number

pith:TSUCVTU3

pith:2015:TSUCVTU3EUA4Y6XNJBDMPVTWN2

not attested not anchored not stored refs pending

Homological dimension of simple pro-p-Iwahori--Hecke modules

Karol Koziol

arxiv:1512.00247 v5 · 2015-12-01 · math.RT · 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{TSUCVTU3EUA4Y6XNJBDMPVTWN2}

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	2026-05-18T00:12:14.525541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ca82ace9b2501cc7aed4846c7d6766eb83ce70c233b44685a8fe9908d92fd27

Aliases

arxiv: 1512.00247 · arxiv_version: 1512.00247v5 · doi: 10.48550/arxiv.1512.00247 · pith_short_12: TSUCVTU3EUA4 · pith_short_16: TSUCVTU3EUA4Y6XN · pith_short_8: TSUCVTU3

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/TSUCVTU3EUA4Y6XNJBDMPVTWN2 \
  | 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: 9ca82ace9b2501cc7aed4846c7d6766eb83ce70c233b44685a8fe9908d92fd27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a38350fbf12e85d80ecd3cf4b81ff2c761f4e5bf7b7a522d4bc1f3d22cb02a1",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-12-01T13:09:08Z",
    "title_canon_sha256": "4d3ea763d3216be3b55463657c0d2aafa876062922a314aca1568e9bf92c4e25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00247",
    "kind": "arxiv",
    "version": 5
  }
}