Pith Number

pith:YLZGB5IP

pith:2018:YLZGB5IP2Z3L3LRVGR2R5DKFH4

not attested not anchored not stored refs pending

Spherical functions and rapid decay for hyperbolic groups

Adrien Boyer

arxiv:1812.10753 v1 · 2018-12-27 · math.GR · math.OA · 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{YLZGB5IP2Z3L3LRVGR2R5DKFH4}

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	2026-05-17T23:57:20.080047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2f260f50fd676bdae3534751e8d453f3eac71011fc674b3aacb21d9426995ab

Aliases

arxiv: 1812.10753 · arxiv_version: 1812.10753v1 · doi: 10.48550/arxiv.1812.10753 · pith_short_12: YLZGB5IP2Z3L · pith_short_16: YLZGB5IP2Z3L3LRV · pith_short_8: YLZGB5IP

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/YLZGB5IP2Z3L3LRVGR2R5DKFH4 \
  | 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: c2f260f50fd676bdae3534751e8d453f3eac71011fc674b3aacb21d9426995ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0abb3ad33ca878ef857164784b4ae16d36206e287ccf85758b258603102d5ac",
    "cross_cats_sorted": [
      "math.OA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-12-27T16:12:21Z",
    "title_canon_sha256": "9a85e75a18392a7f4d8cc49ae9b37fd257160000947a4424e7465eed2e0af41e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.10753",
    "kind": "arxiv",
    "version": 1
  }
}