Pith Number

pith:XWUPNRDU

pith:2015:XWUPNRDUEDTQWJZTONW4APPU6Q

not attested not anchored not stored refs pending

The slow regime of randomly biased walks on trees

Yueyun Hu, Zhan Shi

arxiv:1501.07700 v3 · 2015-01-30 · 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{XWUPNRDUEDTQWJZTONW4APPU6Q}

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	2026-05-18T01:32:00.919812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bda8f6c47420e70b2733736dc03df4f427aedf7b20bb1a4f60fcbffe4d4058ad

Aliases

arxiv: 1501.07700 · arxiv_version: 1501.07700v3 · doi: 10.48550/arxiv.1501.07700 · pith_short_12: XWUPNRDUEDTQ · pith_short_16: XWUPNRDUEDTQWJZT · pith_short_8: XWUPNRDU

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/XWUPNRDUEDTQWJZTONW4APPU6Q \
  | 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: bda8f6c47420e70b2733736dc03df4f427aedf7b20bb1a4f60fcbffe4d4058ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0967764443c878eb83195e66fa7f020c30c2d36e890912a82dc6fcdd228e6de3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-01-30T08:45:09Z",
    "title_canon_sha256": "d35d92cfa3a3d21d26e392e5db5ef60e62d20a5b1565add6fc6ca49a479f8ca9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.07700",
    "kind": "arxiv",
    "version": 3
  }
}