Pith Number

pith:TGSTW6UE

pith:2011:TGSTW6UEJJYRE7FLWHAK4I7ICQ

not attested not anchored not stored refs pending

On martingale approximation of adapted processes

Dalibor Voln\'y, Herv\'e Queff\'elec

arxiv:1109.2319 v1 · 2011-09-11 · 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{TGSTW6UEJJYRE7FLWHAK4I7ICQ}

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	2026-05-18T04:13:37.986937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99a53b7a844a71127cabb1c0ae23e8142078d5de757425b80557e13c74893116

Aliases

arxiv: 1109.2319 · arxiv_version: 1109.2319v1 · doi: 10.48550/arxiv.1109.2319 · pith_short_12: TGSTW6UEJJYR · pith_short_16: TGSTW6UEJJYRE7FL · pith_short_8: TGSTW6UE

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/TGSTW6UEJJYRE7FLWHAK4I7ICQ \
  | 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: 99a53b7a844a71127cabb1c0ae23e8142078d5de757425b80557e13c74893116

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5011445ea03f9ca3556d5a0bad1a06480bcfcfffedac82886372054b9dd7d620",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-09-11T14:58:16Z",
    "title_canon_sha256": "0db46176b20413c191dcc38bd9c6b2a6315028ac2af98d5af906bbd71f517402"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2319",
    "kind": "arxiv",
    "version": 1
  }
}