Pith Number

pith:H2RBSMJK

pith:2014:H2RBSMJKUNBKL32PKV6GAKSV24

not attested not anchored not stored refs pending

Random walks on torus and random interlacements: Macroscopic coupling and phase transition

Augusto Teixeira, Ji\v{r}\'i \v{C}ern\'y

arxiv:1411.7795 v1 · 2014-11-28 · 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{H2RBSMJKUNBKL32PKV6GAKSV24}

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	2026-05-18T02:32:37.231626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ea219312aa342a5ef4f557c602a55d72cfd47b9ffc428d7e18605fe4f2f124a

Aliases

arxiv: 1411.7795 · arxiv_version: 1411.7795v1 · doi: 10.48550/arxiv.1411.7795 · pith_short_12: H2RBSMJKUNBK · pith_short_16: H2RBSMJKUNBKL32P · pith_short_8: H2RBSMJK

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/H2RBSMJKUNBKL32PKV6GAKSV24 \
  | 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: 3ea219312aa342a5ef4f557c602a55d72cfd47b9ffc428d7e18605fe4f2f124a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c178d3bc31150bf9f43dea1f80a0feb8b1583d31d38b63802b13227519a66dea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-11-28T09:55:17Z",
    "title_canon_sha256": "5b51377c9e4c65050974a2491329f30ac12b67691dab73daca0b27f99d2996a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.7795",
    "kind": "arxiv",
    "version": 1
  }
}