Pith Number

pith:GH5MPZIP

pith:2015:GH5MPZIPWME7WB43CW4PUFKH5E

not attested not anchored not stored refs pending

Two-dimensional random interlacements and late points for random walks

Francis Comets, Marina Vachkovskaia, Serguei Popov

arxiv:1502.03470 v2 · 2015-02-11 · 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{GH5MPZIPWME7WB43CW4PUFKH5E}

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	2026-05-17T23:45:05.081395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31fac7e50fb309fb079b15b8fa1547e90035b6ce349838f724d4cae56d25bd48

Aliases

arxiv: 1502.03470 · arxiv_version: 1502.03470v2 · doi: 10.48550/arxiv.1502.03470 · pith_short_12: GH5MPZIPWME7 · pith_short_16: GH5MPZIPWME7WB43 · pith_short_8: GH5MPZIP

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/GH5MPZIPWME7WB43CW4PUFKH5E \
  | 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: 31fac7e50fb309fb079b15b8fa1547e90035b6ce349838f724d4cae56d25bd48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6e5e2322be91e092c761481df69751c8cf489c318849c820561c906c3d24868",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-02-11T22:09:49Z",
    "title_canon_sha256": "9b27caa9d6999981b8644d7048e7f0b182881ea6951c4e2358939374f5c43598"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.03470",
    "kind": "arxiv",
    "version": 2
  }
}