Pith Number

pith:M2TO2X5V

pith:2017:M2TO2X5VESKA2PRYUB2SZ53ZER

not attested not anchored not stored refs pending

Monotonicity and phase diagram for multi-range percolation on oriented trees

Bernardo N. B. de Lima, Daniel Valesin, Leonardo T. Rolla

arxiv:1702.03841 v2 · 2017-02-13 · 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{M2TO2X5VESKA2PRYUB2SZ53ZER}

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	2026-05-18T00:14:01.335489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66a6ed5fb524940d3e38a0752cf779244ce94d9a9c4de93a1a5a35662c32ada2

Aliases

arxiv: 1702.03841 · arxiv_version: 1702.03841v2 · doi: 10.48550/arxiv.1702.03841 · pith_short_12: M2TO2X5VESKA · pith_short_16: M2TO2X5VESKA2PRY · pith_short_8: M2TO2X5V

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/M2TO2X5VESKA2PRYUB2SZ53ZER \
  | 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: 66a6ed5fb524940d3e38a0752cf779244ce94d9a9c4de93a1a5a35662c32ada2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eaf315a2c937e4041ff7bc8c0fb78d709971d804d61648b62a1e499e770299e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-02-13T15:55:26Z",
    "title_canon_sha256": "1a690690cf96df399f1a493ccce0c41f4e2246a257060541bf7834f3e2a2694d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.03841",
    "kind": "arxiv",
    "version": 2
  }
}