Pith Number

pith:WPAPSFHH

pith:2016:WPAPSFHHT4VJMT4ZDN4CA3ND6Y

not attested not anchored not stored refs pending

A unifying framework for fast randomization of ecological networks with fixed (node) degrees

Annabell Berger, Corrie Jacobien Carstens, Giovanni Strona

arxiv:1609.05137 v3 · 2016-09-16 · math.CO · cs.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WPAPSFHHT4VJMT4ZDN4CA3ND6Y}

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	2026-05-18T00:09:48.014386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3c0f914e79f2a964f991b78206da3f63cf520455c6d51c81650e789382148b7

Aliases

arxiv: 1609.05137 · arxiv_version: 1609.05137v3 · doi: 10.48550/arxiv.1609.05137 · pith_short_12: WPAPSFHHT4VJ · pith_short_16: WPAPSFHHT4VJMT4Z · pith_short_8: WPAPSFHH

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/WPAPSFHHT4VJMT4ZDN4CA3ND6Y \
  | 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: b3c0f914e79f2a964f991b78206da3f63cf520455c6d51c81650e789382148b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f3239b1eb1708c44e447d5e831eb1fca5dbb59a819c986e64a8c35dad72f525",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-16T16:52:03Z",
    "title_canon_sha256": "613c134ddc2ccad09f31d7091d7b5e4a252e1865bf5dbf2a1cad1b1b2746afcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05137",
    "kind": "arxiv",
    "version": 3
  }
}