Pith Number

pith:AGSTEPHL

pith:2026:AGSTEPHLLFBWNXUI7RF4OGQWNW

not attested not anchored not stored refs pending

Biased Random Walk on $\mathbb Z_+$ with Traps of Linearly Increasing Depth

Hua-Ming Wang, Ning Wang

arxiv:2606.05830 v1 · 2026-06-04 · 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{AGSTEPHLLFBWNXUI7RF4OGQWNW}

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	2026-06-05T01:15:04.877183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01a5323ceb594366de88fc4bc71a166db90b26c8ff8c6eb1f596858c77322ea8

Aliases

arxiv: 2606.05830 · arxiv_version: 2606.05830v1 · doi: 10.48550/arxiv.2606.05830 · pith_short_12: AGSTEPHLLFBW · pith_short_16: AGSTEPHLLFBWNXUI · pith_short_8: AGSTEPHL

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/AGSTEPHLLFBWNXUI7RF4OGQWNW \
  | 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: 01a5323ceb594366de88fc4bc71a166db90b26c8ff8c6eb1f596858c77322ea8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "627ad85452fbcff799a654ff178b5a9ef614d1d3eec7e3395296e4f5f7c31efb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-04T08:08:36Z",
    "title_canon_sha256": "5c24bbbe39246378c43639e1249156fb6cfaef6c3ce4086d161d5086eb02e1ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.05830",
    "kind": "arxiv",
    "version": 1
  }
}