Pith Number

pith:35MWXN25

pith:2010:35MWXN253FG5WAGWGRSJIQXELB

not attested not anchored not stored refs pending

Schr\"odinger equation on Damek-Ricci spaces

Jean-Philippe Anker (MAPMO), Maria Vallarino, Vittoria Pierfelice (MAPMO)

arxiv:1010.2137 v1 · 2010-10-11 · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{35MWXN253FG5WAGWGRSJIQXELB}

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	2026-05-18T04:39:29.581051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df596bb75dd94ddb00d634649442e4585d2220315dd8fa36e8c6e5e7477d0601

Aliases

arxiv: 1010.2137 · arxiv_version: 1010.2137v1 · doi: 10.48550/arxiv.1010.2137 · pith_short_12: 35MWXN253FG5 · pith_short_16: 35MWXN253FG5WAGW · pith_short_8: 35MWXN25

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/35MWXN253FG5WAGWGRSJIQXELB \
  | 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: df596bb75dd94ddb00d634649442e4585d2220315dd8fa36e8c6e5e7477d0601

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03b714b915a1e1ea229048e8cd33b9c908c2f463c18fe60267b9a8e7bc443661",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-10-11T15:29:30Z",
    "title_canon_sha256": "71e0d40121c3fbe21b95a914bfce867efb3665e6e682e887bdc2e72c009ed172"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2137",
    "kind": "arxiv",
    "version": 1
  }
}