Pith Number

pith:65TJOWIV

pith:2008:65TJOWIVIIFAHFNDMQM3AQKOGJ

not attested not anchored not stored refs pending

Spherical Spectral Synthesis and Two-Radius Theorems on Damek-Ricci Spaces

Evangelia Samiou, Norbert Peyerimhoff

arxiv:0803.1657 v1 · 2008-03-11 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{65TJOWIVIIFAHFNDMQM3AQKOGJ}

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	2026-05-18T02:16:00.337780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f766975915420a0395a36419b0414e3246376755f9f8edf3c9564b66dc15d88f

Aliases

arxiv: 0803.1657 · arxiv_version: 0803.1657v1 · doi: 10.48550/arxiv.0803.1657 · pith_short_12: 65TJOWIVIIFA · pith_short_16: 65TJOWIVIIFAHFND · pith_short_8: 65TJOWIV

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/65TJOWIVIIFAHFNDMQM3AQKOGJ \
  | 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: f766975915420a0395a36419b0414e3246376755f9f8edf3c9564b66dc15d88f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b8fe97117b916f6bfadd7c0fa348a60524aec62ee534322071cf02f51d7b487",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-03-11T19:53:18Z",
    "title_canon_sha256": "6109de0b0cc4b3cd20060a8906aee3dbb09ef964b0045fe68493020c2ea88fdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.1657",
    "kind": "arxiv",
    "version": 1
  }
}