Pith Number

pith:KMWDXGUR

pith:2010:KMWDXGURQJVK4BFX4YARKNMN3Z

not attested not anchored not stored refs pending

An index formula for the extended Heisenberg algebra of Epstein, Melrose and Mendoza

Erik van Erp

arxiv:1007.3532 v2 · 2010-07-20 · math.FA · 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{KMWDXGURQJVK4BFX4YARKNMN3Z}

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	2026-05-18T04:41:55.685673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

532c3b9a91826aae04b7e60115358dde5f462d3964ffa9195be4ccb6dedbcf26

Aliases

arxiv: 1007.3532 · arxiv_version: 1007.3532v2 · doi: 10.48550/arxiv.1007.3532 · pith_short_12: KMWDXGURQJVK · pith_short_16: KMWDXGURQJVK4BFX · pith_short_8: KMWDXGUR

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/KMWDXGURQJVK4BFX4YARKNMN3Z \
  | 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: 532c3b9a91826aae04b7e60115358dde5f462d3964ffa9195be4ccb6dedbcf26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ddf955b30e919d79ab4704799c05d7dad6cd5b163771246bfc0a976053709e4",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-07-20T22:34:00Z",
    "title_canon_sha256": "dfcf9d41a4214a758d00a1e5e2d66f603f752466cd2be0be4b879bf554b8e539"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3532",
    "kind": "arxiv",
    "version": 2
  }
}