Pith Number

pith:WKX5QJJK

pith:2022:WKX5QJJKOALI5PER6C26ZSY5E7

not attested not anchored not stored refs pending

On the convergence of the drainage network with branching

Glauco Valle, Leonel Zuazn\'abar, Rafael Santos

arxiv:2206.04235 v2 · 2022-06-09 · 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{WKX5QJJKOALI5PER6C26ZSY5E7}

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	2026-07-05T08:47:04.200359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2afd8252a70168ebc91f0b5eccb1d27d30cb2b41068f3721c4c29409865b01a

Aliases

arxiv: 2206.04235 · arxiv_version: 2206.04235v2 · doi: 10.48550/arxiv.2206.04235 · pith_short_12: WKX5QJJKOALI · pith_short_16: WKX5QJJKOALI5PER · pith_short_8: WKX5QJJK

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/WKX5QJJKOALI5PER6C26ZSY5E7 \
  | 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: b2afd8252a70168ebc91f0b5eccb1d27d30cb2b41068f3721c4c29409865b01a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0d42c2945455bf69e655fe0a9fd4f39c204bd6c6342d07bd31ea3a4575a5b70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-06-09T02:52:07Z",
    "title_canon_sha256": "6cc3b3bdcd0fe5a2fd0f9c759db6468832c7ef5fc9cf7120903b5c88b40ce0c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.04235",
    "kind": "arxiv",
    "version": 2
  }
}