Pith Number

pith:LLTM7R5J

pith:2013:LLTM7R5JYEMXTRJADDLEG7LSNV

not attested not anchored not stored refs pending

On the interpolation property and dominated decomposition property of quasimartingales

Liang Hong

arxiv:1311.6389 v1 · 2013-11-25 · 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{LLTM7R5JYEMXTRJADDLEG7LSNV}

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	2026-05-18T03:06:14.234937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ae6cfc7a9c11979c52018d6437d726d6703a383fedcedc229c76bc6e213fbce

Aliases

arxiv: 1311.6389 · arxiv_version: 1311.6389v1 · doi: 10.48550/arxiv.1311.6389 · pith_short_12: LLTM7R5JYEMX · pith_short_16: LLTM7R5JYEMXTRJA · pith_short_8: LLTM7R5J

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/LLTM7R5JYEMXTRJADDLEG7LSNV \
  | 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: 5ae6cfc7a9c11979c52018d6437d726d6703a383fedcedc229c76bc6e213fbce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55724d4ac680614dca81401ff87c45d850ec5502f2a459810d71f31c7fa99bad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-11-25T18:18:13Z",
    "title_canon_sha256": "6a0471336e873e9f8e55e86e1b3add959913873ed6b0c65c452178b6a98e3c1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6389",
    "kind": "arxiv",
    "version": 1
  }
}