Pith Number

pith:VFM7C4KM

pith:2014:VFM7C4KMICUAMRD3ZD3UAAHPB3

not attested not anchored not stored refs pending

Randomly trapped random walks on $\mathbb Z^d$

Ji\v{r}\'i \v{C}ern\'y, Tobias Wassmer

arxiv:1406.0363 v4 · 2014-06-02 · 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{VFM7C4KMICUAMRD3ZD3UAAHPB3}

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	2026-05-18T02:41:18.550026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a959f1714c40a806447bc8f74000ef0ee77c05be046937b2edb23d4c5137dba5

Aliases

arxiv: 1406.0363 · arxiv_version: 1406.0363v4 · doi: 10.48550/arxiv.1406.0363 · pith_short_12: VFM7C4KMICUA · pith_short_16: VFM7C4KMICUAMRD3 · pith_short_8: VFM7C4KM

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/VFM7C4KMICUAMRD3ZD3UAAHPB3 \
  | 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: a959f1714c40a806447bc8f74000ef0ee77c05be046937b2edb23d4c5137dba5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "069f78dad9ebefff09a31e853b6f67cd91657c00e45772cdbdb938b05c958eb2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-06-02T13:35:49Z",
    "title_canon_sha256": "6110a5073e4539a4bf853eba7c203c9beee38773cd45192d0168666d9073f2e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.0363",
    "kind": "arxiv",
    "version": 4
  }
}