Pith Number

pith:DONVCSJZ

pith:2015:DONVCSJZKKWYY25HNVEGKFJ7LZ

not attested not anchored not stored refs pending

Hecke algebras and $p$-adic groups

Xuhua He

arxiv:1511.01386 v3 · 2015-11-04 · math.RT · math.AG · 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{DONVCSJZKKWYY25HNVEGKFJ7LZ}

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	2026-05-18T00:57:38.164068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b9b51493952ad8c6ba76d4865153f5e7c9d6635f4633aa38a01d998a38419f0

Aliases

arxiv: 1511.01386 · arxiv_version: 1511.01386v3 · doi: 10.48550/arxiv.1511.01386 · pith_short_12: DONVCSJZKKWY · pith_short_16: DONVCSJZKKWYY25H · pith_short_8: DONVCSJZ

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/DONVCSJZKKWYY25HNVEGKFJ7LZ \
  | 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: 1b9b51493952ad8c6ba76d4865153f5e7c9d6635f4633aa38a01d998a38419f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d24cb6ad1b7613362591a544c5bf033120c013e76d98c79ae93a617999469f2",
    "cross_cats_sorted": [
      "math.AG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-11-04T16:34:03Z",
    "title_canon_sha256": "acdf1523caf0f6599f7fb861aba9a05098242f03636cbb1142501e44224908b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01386",
    "kind": "arxiv",
    "version": 3
  }
}