Pith Number

pith:DMYIDCKM

pith:2017:DMYIDCKMDJGDV3C2YCSCCWTRSO

not attested not anchored not stored refs pending

Hecke module structure on first and top pro-$p$-Iwahori cohomology

Karol Koziol

arxiv:1708.03013 v2 · 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{DMYIDCKMDJGDV3C2YCSCCWTRSO}

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	2026-05-18T00:20:16.895459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b3081894c1a4c3aec5ac0a4215a719385fb80c2868eee5137ec005e81d144bf

Aliases

arxiv: 1708.03013 · arxiv_version: 1708.03013v2 · doi: 10.48550/arxiv.1708.03013 · pith_short_12: DMYIDCKMDJGD · pith_short_16: DMYIDCKMDJGDV3C2 · pith_short_8: DMYIDCKM

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/DMYIDCKMDJGDV3C2YCSCCWTRSO \
  | 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: 1b3081894c1a4c3aec5ac0a4215a719385fb80c2868eee5137ec005e81d144bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b821e6246019d8544a4decd9bd21b594d2aa569266335a22e49585676926e98",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-08-09T21:04:50Z",
    "title_canon_sha256": "2e6dc6a33eeecb78c82eaf70f383de1be840b6a9d69729bbf7052c3cbb903e1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.03013",
    "kind": "arxiv",
    "version": 2
  }
}