Pith Number

pith:WK2RKQLZ

pith:2010:WK2RKQLZJ4X5Z24AWV6YLILPAS

not attested not anchored not stored refs pending

$L^p$ spectrum and heat dynamics of locally symmetric spaces of higher rank

Andreas Weber, Lizhen Ji

arxiv:1005.2988 v2 · 2010-05-17 · math.DG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WK2RKQLZJ4X5Z24AWV6YLILPAS}

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	2026-05-18T02:23:56.817449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2b51541794f2fdceb80b57d85a16f049bf819f2d084a64c84415605256d65e7

Aliases

arxiv: 1005.2988 · arxiv_version: 1005.2988v2 · doi: 10.48550/arxiv.1005.2988 · pith_short_12: WK2RKQLZJ4X5 · pith_short_16: WK2RKQLZJ4X5Z24A · pith_short_8: WK2RKQLZ

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/WK2RKQLZJ4X5Z24AWV6YLILPAS \
  | 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: b2b51541794f2fdceb80b57d85a16f049bf819f2d084a64c84415605256d65e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e37756f34385dbec6f8031cad9ee45d79ba89ef90295fbc548f997ec6d4feaa9",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-05-17T17:53:11Z",
    "title_canon_sha256": "6f5cb1f7d571dc450391bd3c31db926ebec65d8d0222f12e3920235bec264963"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.2988",
    "kind": "arxiv",
    "version": 2
  }
}