Pith Number

pith:5YEVN7JW

pith:2013:5YEVN7JWCO3XAWTAYAA4MF3VP2

not attested not anchored not stored refs pending

Parahoric induction and chamber homology for SL2

Tyrone Crisp

arxiv:1301.0497 v3 · 2013-01-03 · math.RT · math.KT · math.OA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5YEVN7JWCO3XAWTAYAA4MF3VP2}

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	2026-05-18T03:08:59.569110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee0956fd3613b7705a60c001c617757ebffac96497ba05fbe8d335948f34e508

Aliases

arxiv: 1301.0497 · arxiv_version: 1301.0497v3 · doi: 10.48550/arxiv.1301.0497 · pith_short_12: 5YEVN7JWCO3X · pith_short_16: 5YEVN7JWCO3XAWTA · pith_short_8: 5YEVN7JW

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/5YEVN7JWCO3XAWTAYAA4MF3VP2 \
  | 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: ee0956fd3613b7705a60c001c617757ebffac96497ba05fbe8d335948f34e508

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4709e6340bf81abc9623c9b21f30442323ce6278f03aba0ea74fc44c184e320",
    "cross_cats_sorted": [
      "math.KT",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-01-03T16:35:25Z",
    "title_canon_sha256": "613d925a09fd6ac9f6f1bda2e32c531587758270f46c41f70f4e4f6320119869"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0497",
    "kind": "arxiv",
    "version": 3
  }
}