Pith Number

pith:DPDVGN2K

pith:2018:DPDVGN2KDUFDO5J77EDWW5YCPM

not attested not anchored not stored refs pending

A remark on H1 martingales

Hardy Hulley, Johannes Ruf

arxiv:1804.10083 v1 · 2018-04-26 · 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{DPDVGN2KDUFDO5J77EDWW5YCPM}

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	2026-05-18T00:17:25.166599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bc753374a1d0a37753ff9076b77027b095f6310a9cc2630fb100708ef5bf508

Aliases

arxiv: 1804.10083 · arxiv_version: 1804.10083v1 · doi: 10.48550/arxiv.1804.10083 · pith_short_12: DPDVGN2KDUFD · pith_short_16: DPDVGN2KDUFDO5J7 · pith_short_8: DPDVGN2K

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/DPDVGN2KDUFDO5J77EDWW5YCPM \
  | 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: 1bc753374a1d0a37753ff9076b77027b095f6310a9cc2630fb100708ef5bf508

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f2b0bf85d9c89be0852f7d0ee971ede6133c2d4083a7b42e974ae8e081a1671",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-04-26T14:24:58Z",
    "title_canon_sha256": "4ac3eed6ad8112de05a62c2c06172f4d784ab9e19b7b6c33b5f1b930ca51f0aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.10083",
    "kind": "arxiv",
    "version": 1
  }
}