Pith Number

pith:JPXI4WVY

pith:2012:JPXI4WVYFK26H772MQWIR764CY

not attested not anchored not stored refs pending

New proofs of some results on BMO martingales using BSDEs

Besik Chikvinidze, Michael Mania

arxiv:1205.1249 v1 · 2012-05-06 · 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{JPXI4WVYFK26H772MQWIR764CY}

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	2026-05-18T03:56:11.692931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bee8e5ab82ab5e3fffa642c88ffdc1617797f2162a76480b0fd880d3f16419a

Aliases

arxiv: 1205.1249 · arxiv_version: 1205.1249v1 · doi: 10.48550/arxiv.1205.1249 · pith_short_12: JPXI4WVYFK26 · pith_short_16: JPXI4WVYFK26H772 · pith_short_8: JPXI4WVY

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/JPXI4WVYFK26H772MQWIR764CY \
  | 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: 4bee8e5ab82ab5e3fffa642c88ffdc1617797f2162a76480b0fd880d3f16419a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d2595f7ca5f17042121c0559d622957623541f8afad210b6649a66db8b1758a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-05-06T21:14:16Z",
    "title_canon_sha256": "b0ba4fccfadba22a4b2fe2faf013d3d1b1515818f829082c3666799e5c8823a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1249",
    "kind": "arxiv",
    "version": 1
  }
}