Pith Number

pith:ZD76J7RU

pith:2017:ZD76J7RUC5BYVGIL23FC2HTXVI

not attested not anchored not stored refs pending

The first pro-$p$-Iwahori cohomology of mod-$p$ principal series for $p$-adic $\textrm{GL}_n$

Karol Koziol

arxiv:1708.03014 v3 · 2017-08-09 · 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{ZD76J7RUC5BYVGIL23FC2HTXVI}

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	2026-05-18T00:15:05.447621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8ffe4fe3417438a990bd6ca2d1e77aa26b4a52eaf23a1ae1a45e6f5ce005dd6

Aliases

arxiv: 1708.03014 · arxiv_version: 1708.03014v3 · doi: 10.48550/arxiv.1708.03014 · pith_short_12: ZD76J7RUC5BY · pith_short_16: ZD76J7RUC5BYVGIL · pith_short_8: ZD76J7RU

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/ZD76J7RUC5BYVGIL23FC2HTXVI \
  | 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: c8ffe4fe3417438a990bd6ca2d1e77aa26b4a52eaf23a1ae1a45e6f5ce005dd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "086baa3b61a1665b9a047db895298dd109a94dd872e0105962bf4e16c563a759",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-08-09T21:10:48Z",
    "title_canon_sha256": "b00cc6da3939f0b4f27e8b16c3e3b43f79a2e392d3be82c51889e1be6f9648dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.03014",
    "kind": "arxiv",
    "version": 3
  }
}