Pith Number

pith:7RO3Y6TF

pith:2017:7RO3Y6TFWTW7UIP7CFHZCWSQI6

not attested not anchored not stored refs pending

Martingale approximations for random fields

Magda Peligrad, Na Zhang

arxiv:1708.08492 v1 · 2017-08-28 · 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{7RO3Y6TFWTW7UIP7CFHZCWSQI6}

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	2026-05-18T00:36:27.589832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc5dbc7a65b4edfa21ff114f915a50478eae46e63c6c8062690210b20f55bc53

Aliases

arxiv: 1708.08492 · arxiv_version: 1708.08492v1 · doi: 10.48550/arxiv.1708.08492 · pith_short_12: 7RO3Y6TFWTW7 · pith_short_16: 7RO3Y6TFWTW7UIP7 · pith_short_8: 7RO3Y6TF

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/7RO3Y6TFWTW7UIP7CFHZCWSQI6 \
  | 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: fc5dbc7a65b4edfa21ff114f915a50478eae46e63c6c8062690210b20f55bc53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af35d0b56281f1fbde129f9304a838d64b77235ea702bd221b91d5bf3a80bf01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-08-28T19:20:18Z",
    "title_canon_sha256": "b368acff268c080a008ac6d0a7718a89ede06b2e9f02c80386e6db21e401791c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.08492",
    "kind": "arxiv",
    "version": 1
  }
}