Pith Number

pith:3WSFXHMW

pith:2022:3WSFXHMWY77INU7OT3666P3PO4

not attested not anchored not stored refs pending

Continuous-time weakly self-avoiding walk on $\mathbb{Z}$ has strictly monotone escape speed

Yucheng Liu

arxiv:2210.15580 v2 · 2022-10-27 · math.PR · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3WSFXHMWY77INU7OT3666P3PO4}

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	2026-05-28T02:04:38.457053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dda45b9d96c7fe86d3ee9efdef3f6f773b5791fdedefdc5513a9217143eb1504

Aliases

arxiv: 2210.15580 · arxiv_version: 2210.15580v2 · doi: 10.48550/arxiv.2210.15580 · pith_short_12: 3WSFXHMWY77I · pith_short_16: 3WSFXHMWY77INU7O · pith_short_8: 3WSFXHMW

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/3WSFXHMWY77INU7OT3666P3PO4 \
  | 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: dda45b9d96c7fe86d3ee9efdef3f6f773b5791fdedefdc5513a9217143eb1504

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e7e03f19992ed2b58e1fbd10e092b8270ddd6c9932cb66ee01011cbf0a4627a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-10-27T16:16:06Z",
    "title_canon_sha256": "6715dedbd05e71bb845baceb99c019ea1951a4d8ed0ec8eb60db9f453ca04800"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.15580",
    "kind": "arxiv",
    "version": 2
  }
}