Pith Number

pith:P7DML3FH

pith:2012:P7DML3FHNMMTGQS7X4FG7ZR64P

not attested not anchored not stored refs pending

Jump-type Hunt processes generated by lower bounded semi-Dirichlet forms

Masatoshi Fukushima, Toshihiro Uemura

arxiv:1204.2944 v1 · 2012-04-13 · 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{P7DML3FHNMMTGQS7X4FG7ZR64P}

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	2026-05-18T03:58:02.487197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fc6c5eca76b1933425fbf0a6fe63ee3e5eec8ac022306cf508c1ba9307fc371

Aliases

arxiv: 1204.2944 · arxiv_version: 1204.2944v1 · doi: 10.48550/arxiv.1204.2944 · pith_short_12: P7DML3FHNMMT · pith_short_16: P7DML3FHNMMTGQS7 · pith_short_8: P7DML3FH

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/P7DML3FHNMMTGQS7X4FG7ZR64P \
  | 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: 7fc6c5eca76b1933425fbf0a6fe63ee3e5eec8ac022306cf508c1ba9307fc371

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c625a63de0b2d88c9b58adb549ff44fc743f8cc5bed6b1da3c33e587d7eb96f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-04-13T10:37:37Z",
    "title_canon_sha256": "6a9023d22b5e39e65a15d72b737950ffea3d9d392682f16af5bd54b017aeeaca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2944",
    "kind": "arxiv",
    "version": 1
  }
}