Pith Number

pith:YWXMR5HT

pith:2017:YWXMR5HTDZGEZCXL3S7T63PJYY

not attested not anchored not stored refs pending

Nonstandard Martingales, Markov Chains and the Heat Equation

Tristram de Piro

arxiv:1704.05530 v1 · 2017-04-15 · 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{YWXMR5HTDZGEZCXL3S7T63PJYY}

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	2026-05-18T00:46:07.196410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5aec8f4f31e4c4c8aebdcbf3f6de9c60cf9d6fd62143f7dfea3fff427daee1a

Aliases

arxiv: 1704.05530 · arxiv_version: 1704.05530v1 · doi: 10.48550/arxiv.1704.05530 · pith_short_12: YWXMR5HTDZGE · pith_short_16: YWXMR5HTDZGEZCXL · pith_short_8: YWXMR5HT

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/YWXMR5HTDZGEZCXL3S7T63PJYY \
  | 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: c5aec8f4f31e4c4c8aebdcbf3f6de9c60cf9d6fd62143f7dfea3fff427daee1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "959e2dd8eaffb9970ea5457d1f5b420987c909702b33d1c9ea7ae0bceee65a6c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-04-15T21:51:47Z",
    "title_canon_sha256": "22435b6527192fd797ab84206cdeaf7756b9d01a35e0258be19f717fda7da8d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.05530",
    "kind": "arxiv",
    "version": 1
  }
}