Pith Number

pith:QR6UWEFK

pith:2013:QR6UWEFKIKKUUBW6QYKUHHF3ZI

not attested not anchored not stored refs pending

Local solution method for the problem of enlargement of filtration

Shiqi Song

arxiv:1302.2862 v3 · 2013-02-12 · 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{QR6UWEFKIKKUUBW6QYKUHHF3ZI}

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	2026-05-18T03:29:40.353065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

847d4b10aa42954a06de8615439cbbca2c1eda02a3a067895c9c0b643ca4a7a7

Aliases

arxiv: 1302.2862 · arxiv_version: 1302.2862v3 · doi: 10.48550/arxiv.1302.2862 · pith_short_12: QR6UWEFKIKKU · pith_short_16: QR6UWEFKIKKUUBW6 · pith_short_8: QR6UWEFK

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/QR6UWEFKIKKUUBW6QYKUHHF3ZI \
  | 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: 847d4b10aa42954a06de8615439cbbca2c1eda02a3a067895c9c0b643ca4a7a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d895ea0b92ec5ebbee21ca3723e76465dd363af2961b4776521c5e9a4985072c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-02-12T17:07:44Z",
    "title_canon_sha256": "58da339ecf8a7bb1489fa58f6896994d58d5139c7ac7fe3cf3c512928ad71bc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2862",
    "kind": "arxiv",
    "version": 3
  }
}