Pith Number

pith:MDSLBM73

pith:2012:MDSLBM73YDFJLO72VFLE23PWXC

not attested not anchored not stored refs pending

The K-theory of bisingular pseudodifferential algebras

Karsten Bohlen

arxiv:1208.5072 v3 · 2012-08-24 · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MDSLBM73YDFJLO72VFLE23PWXC}

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	2026-05-18T01:37:11.712529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60e4b0b3fbc0ca95bbfaa9564d6df6b89156d38e59c0fa8e0407713b8955f833

Aliases

arxiv: 1208.5072 · arxiv_version: 1208.5072v3 · doi: 10.48550/arxiv.1208.5072 · pith_short_12: MDSLBM73YDFJ · pith_short_16: MDSLBM73YDFJLO72 · pith_short_8: MDSLBM73

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/MDSLBM73YDFJLO72VFLE23PWXC \
  | 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: 60e4b0b3fbc0ca95bbfaa9564d6df6b89156d38e59c0fa8e0407713b8955f833

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84e6386b682c6cc89a55b7eba1c3a7358be2fe2378e1713693923268c77b23f9",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-08-24T22:06:39Z",
    "title_canon_sha256": "925744178ef2d68ebd0c997540269764bed9c4a123a6304a78f0f71bf4c6e271"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5072",
    "kind": "arxiv",
    "version": 3
  }
}