Pith Number

pith:SILVUVQG

pith:2016:SILVUVQGD52AG5ZXV67TT3TJNF

not attested not anchored not stored refs pending

Concentration of Geodesics in Directed Bernoulli Percolation

Chen Xu, Christian Houdr\'e

arxiv:1607.02219 v4 · 2016-07-08 · 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{SILVUVQGD52AG5ZXV67TT3TJNF}

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	2026-05-18T00:25:08.037574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92175a56061f74037737afbf39ee696950622352c6ba5308d83adfdb19951ddd

Aliases

arxiv: 1607.02219 · arxiv_version: 1607.02219v4 · doi: 10.48550/arxiv.1607.02219 · pith_short_12: SILVUVQGD52A · pith_short_16: SILVUVQGD52AG5ZX · pith_short_8: SILVUVQG

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/SILVUVQGD52AG5ZXV67TT3TJNF \
  | 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: 92175a56061f74037737afbf39ee696950622352c6ba5308d83adfdb19951ddd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55aedf79287c95a672a5b6ba51cc6c95e40a21ccddbd0a74bb9406b5d0f759f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-07-08T03:19:40Z",
    "title_canon_sha256": "27fce76ba2fd8370944be6c97c0cffa53ba0664fc0dea1d722cc4f4785d3f723"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.02219",
    "kind": "arxiv",
    "version": 4
  }
}