Pith Number

pith:YSCF6MUY

pith:2011:YSCF6MUY2GT2ZEV7UUXGHD3UUC

not attested not anchored not stored refs pending

Recurrence of the $ \mathbb{Z}^d$-valued infinite snake via unimodularity

Itai Benjamini, Nicolas Curien

arxiv:1107.1226 v2 · 2011-07-06 · 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{YSCF6MUY2GT2ZEV7UUXGHD3UUC}

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	2026-05-18T02:51:06.782973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4845f3298d1a7ac92bfa52e638f74a08487761d221f0a2fc5955606f9a63999

Aliases

arxiv: 1107.1226 · arxiv_version: 1107.1226v2 · doi: 10.48550/arxiv.1107.1226 · pith_short_12: YSCF6MUY2GT2 · pith_short_16: YSCF6MUY2GT2ZEV7 · pith_short_8: YSCF6MUY

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/YSCF6MUY2GT2ZEV7UUXGHD3UUC \
  | 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: c4845f3298d1a7ac92bfa52e638f74a08487761d221f0a2fc5955606f9a63999

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "341a08c3c6419b8e413abca724fdcf692d46cb929af88dabf9a00f68aa4865c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-07-06T19:36:20Z",
    "title_canon_sha256": "9713fed2539d6864370dd0f22913fba1ee2ded8c7acef034817721a9b7190a5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1226",
    "kind": "arxiv",
    "version": 2
  }
}