Pith Number

pith:M3IA6RFC

pith:2026:M3IA6RFCQHE6KAYAPHTUBY72ZF

not attested not anchored not stored refs pending

Stochastic completeness for landmark space

Karen Habermann, Stefan Sommer

arxiv:2606.02570 v1 · 2026-06-01 · math.PR · 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{M3IA6RFCQHE6KAYAPHTUBY72ZF}

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	2026-06-02T03:05:10.422359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66d00f44a281c9e5030079e740e3fac97fb508f61fb76e70e4e3d296e2f47ec5

Aliases

arxiv: 2606.02570 · arxiv_version: 2606.02570v1 · doi: 10.48550/arxiv.2606.02570 · pith_short_12: M3IA6RFCQHE6 · pith_short_16: M3IA6RFCQHE6KAYA · pith_short_8: M3IA6RFC

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/M3IA6RFCQHE6KAYAPHTUBY72ZF \
  | 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: 66d00f44a281c9e5030079e740e3fac97fb508f61fb76e70e4e3d296e2f47ec5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d4ecb384ac8924b8abbca591d7132645c756a748468da73d183ab41020b0206",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-01T17:57:02Z",
    "title_canon_sha256": "3b61bd5797a64e3e2d12295a249047e0d8f931c2299c020b65378f89dc981ae7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02570",
    "kind": "arxiv",
    "version": 1
  }
}