Pith Number

pith:KFYBBVEF

pith:2011:KFYBBVEF5IYZF6Y6BBIDRDEEND

not attested not anchored not stored refs pending

On the microlocal properties of the range of systems of principal type

Jens Wittsten, Nils Dencker

arxiv:1108.2124 v2 · 2011-08-10 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KFYBBVEF5IYZF6Y6BBIDRDEEND}

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	2026-05-18T02:27:19.233194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

517010d485ea3192fb1e0850388c8468f694aa8f9c49879b0177ef019b8c3849

Aliases

arxiv: 1108.2124 · arxiv_version: 1108.2124v2 · doi: 10.48550/arxiv.1108.2124 · pith_short_12: KFYBBVEF5IYZ · pith_short_16: KFYBBVEF5IYZF6Y6 · pith_short_8: KFYBBVEF

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/KFYBBVEF5IYZF6Y6BBIDRDEEND \
  | 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: 517010d485ea3192fb1e0850388c8468f694aa8f9c49879b0177ef019b8c3849

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "577ce32a394c733157d2e81acce60a26621b42e6871c0867ff57d6f612305741",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-08-10T08:41:27Z",
    "title_canon_sha256": "06f96bcb808437e06dbe9c5862adaeec877251d0335f0c8aa2325d5e5cd3b3fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2124",
    "kind": "arxiv",
    "version": 2
  }
}