Pith Number

pith:HCKIZVBH

pith:2017:HCKIZVBHWARBOP56YZILVQVLAB

not attested not anchored not stored refs pending

First passage problems for upwards skip-free random walks via the $\Phi,W,Z$ paradigm

Florin Avram, Matija Vidmar

arxiv:1708.06080 v2 · 2017-08-21 · 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{HCKIZVBHWARBOP56YZILVQVLAB}

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	2026-05-18T00:18:31.609639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38948cd427b022173fbec650bac2ab00559531b81642cb876208a49e85d44609

Aliases

arxiv: 1708.06080 · arxiv_version: 1708.06080v2 · doi: 10.48550/arxiv.1708.06080 · pith_short_12: HCKIZVBHWARB · pith_short_16: HCKIZVBHWARBOP56 · pith_short_8: HCKIZVBH

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/HCKIZVBHWARBOP56YZILVQVLAB \
  | 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: 38948cd427b022173fbec650bac2ab00559531b81642cb876208a49e85d44609

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f099ca04991ce50c19970934f669cddf842ca03974f23079ea9e86f2a51dd57a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-08-21T05:37:48Z",
    "title_canon_sha256": "c88b843a6c822f95c9cb24d0b2fc84dfa8f0dd79f4f22a44bde3f1308aa58dc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.06080",
    "kind": "arxiv",
    "version": 2
  }
}