Pith Number

pith:T22P3NDJ

pith:2016:T22P3NDJJASHQLD2TOVB2BSRNE

not attested not anchored not stored refs pending

Twisted Poincare Series and Zeta functions on finite quotients of buildings

Ming-Hsuan Kang, Rupert McCallum

arxiv:1606.07317 v1 · 2016-06-23 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T22P3NDJJASHQLD2TOVB2BSRNE}

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	2026-05-18T01:11:58.264661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9eb4fdb4694824782c7a9baa1d06516919981469bfea2aa3440c998730ed4479

Aliases

arxiv: 1606.07317 · arxiv_version: 1606.07317v1 · doi: 10.48550/arxiv.1606.07317 · pith_short_12: T22P3NDJJASH · pith_short_16: T22P3NDJJASHQLD2 · pith_short_8: T22P3NDJ

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/T22P3NDJJASHQLD2TOVB2BSRNE \
  | 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: 9eb4fdb4694824782c7a9baa1d06516919981469bfea2aa3440c998730ed4479

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "720af673a18a1356298f7506413d2a7b33dc2fde4ac01fd76bcf9d4a1dbf39dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-06-23T14:04:17Z",
    "title_canon_sha256": "e01acb8f4d94768ead0219f2cfe93ab39410d9b0a142717d0ac5034152753038"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07317",
    "kind": "arxiv",
    "version": 1
  }
}