Pith Number

pith:TCRUYTGO

pith:2017:TCRUYTGOLEWOIYNDVAV6JEZHMA

not attested not anchored not stored refs pending

An Extension of Clark-Haussman Formula and Applications

Traian A. Pirvu, Ulrich G. Haussmann

arxiv:1710.00939 v1 · 2017-10-02 · 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{TCRUYTGOLEWOIYNDVAV6JEZHMA}

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	2026-05-18T00:33:47.440867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98a34c4cce592ce461a3a82be4932760380e4fa0e204af5350f3493123579dba

Aliases

arxiv: 1710.00939 · arxiv_version: 1710.00939v1 · doi: 10.48550/arxiv.1710.00939 · pith_short_12: TCRUYTGOLEWO · pith_short_16: TCRUYTGOLEWOIYND · pith_short_8: TCRUYTGO

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/TCRUYTGOLEWOIYNDVAV6JEZHMA \
  | 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: 98a34c4cce592ce461a3a82be4932760380e4fa0e204af5350f3493123579dba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02d484b18e4a037a416148ac6ebbbfdd3b2ea415a65407604de1818eba67da65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-10-02T23:22:15Z",
    "title_canon_sha256": "bfe95b050b3524e94d539d4bf1735a49f28722e90a4767d602fa11ca90d8e8ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.00939",
    "kind": "arxiv",
    "version": 1
  }
}