Pith Number

pith:22QPCC53

pith:2016:22QPCC53JFMW4R6XDFVF5ROTBW

not attested not anchored not stored refs pending

Cocenters and representations of pro-$p$ Hecke algebras

Sian Nie, Xuhua He

arxiv:1605.03493 v1 · 2016-05-11 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{22QPCC53JFMW4R6XDFVF5ROTBW}

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	2026-05-18T01:15:05.283798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6a0f10bbb49596e47d7196a5ec5d30d8777b12be9d1406f2ea350597089c23a

Aliases

arxiv: 1605.03493 · arxiv_version: 1605.03493v1 · doi: 10.48550/arxiv.1605.03493 · pith_short_12: 22QPCC53JFMW · pith_short_16: 22QPCC53JFMW4R6X · pith_short_8: 22QPCC53

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/22QPCC53JFMW4R6XDFVF5ROTBW \
  | 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: d6a0f10bbb49596e47d7196a5ec5d30d8777b12be9d1406f2ea350597089c23a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "614e052b23b5b28d59d7d99af593d62644a948d94f21943ca9d5d17bdb432b64",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-05-11T16:03:40Z",
    "title_canon_sha256": "23218f0adc2d8047a24b3888b34ffd13bb6ba46c4222b0d36ce5b79eaa8a57fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.03493",
    "kind": "arxiv",
    "version": 1
  }
}