Pith Number

pith:3KZBL7BR

pith:2009:3KZBL7BRQWJVN6ERO2MPN5KQMA

not attested not anchored not stored refs pending

Fredholm realizations of elliptic symbols on manifolds with boundary II: fibered boundary

Pierre Albin, Richard Melrose

arxiv:0905.0453 v2 · 2009-05-04 · math.DG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3KZBL7BRQWJVN6ERO2MPN5KQMA}

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	2026-05-18T04:32:22.180695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dab215fc31859356f8917698f6f550602dc85ca95293771d071e78a23379bcb0

Aliases

arxiv: 0905.0453 · arxiv_version: 0905.0453v2 · doi: 10.48550/arxiv.0905.0453 · pith_short_12: 3KZBL7BRQWJV · pith_short_16: 3KZBL7BRQWJVN6ER · pith_short_8: 3KZBL7BR

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/3KZBL7BRQWJVN6ERO2MPN5KQMA \
  | 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: dab215fc31859356f8917698f6f550602dc85ca95293771d071e78a23379bcb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "939d06f10295062aeda089d55d889123c364286f9dff696e08faaa81885912f2",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-05-04T18:48:47Z",
    "title_canon_sha256": "916289ccd85f70b3b6bb7199a9c2fb82232d3f4e6329d722e99a5f64aa605f8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.0453",
    "kind": "arxiv",
    "version": 2
  }
}