Pith Number

pith:MUPSOWWU

pith:2012:MUPSOWWUVT2U6CAVGBCHRXTLQX

not attested not anchored not stored refs pending

Markov Chain Approximations to Singular Stable-like Processes

Fangjun Xu

arxiv:1210.2816 v1 · 2012-10-10 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MUPSOWWUVT2U6CAVGBCHRXTLQX}

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	2026-05-18T03:43:31.465178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

651f275ad4acf54f0815304478de6b85db71f1f6ee265dcbe8bba17806ec2530

Aliases

arxiv: 1210.2816 · arxiv_version: 1210.2816v1 · doi: 10.48550/arxiv.1210.2816 · pith_short_12: MUPSOWWUVT2U · pith_short_16: MUPSOWWUVT2U6CAV · pith_short_8: MUPSOWWU

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/MUPSOWWUVT2U6CAVGBCHRXTLQX \
  | 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: 651f275ad4acf54f0815304478de6b85db71f1f6ee265dcbe8bba17806ec2530

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "baff2b225a334c2402c4e3cc8fd096b4466bad4f869ef54b8ad5924ad26141c9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-10T07:03:43Z",
    "title_canon_sha256": "77057b23873360d492dd41861b3225eba27b0c033bac13323a2d0ed93f5139c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2816",
    "kind": "arxiv",
    "version": 1
  }
}