Pith Number

pith:3CWGZKMW

pith:2020:3CWGZKMWD46BCDXRAXYHRETZB7

not attested not anchored not stored refs pending

Optimal Mixing in Transport Networks: Numerical Optimization and Analysis

Cassidy Mentus, Marcus Roper

arxiv:2007.13637 v2 · 2020-07-27 · nlin.AO · q-bio.QM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3CWGZKMWD46BCDXRAXYHRETZB7}

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	2026-07-05T01:57:18.762588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8ac6ca9961f3c110ef105f07892790ffe239b75c472ce7c5b96eba97bfc7f1b

Aliases

arxiv: 2007.13637 · arxiv_version: 2007.13637v2 · doi: 10.48550/arxiv.2007.13637 · pith_short_12: 3CWGZKMWD46B · pith_short_16: 3CWGZKMWD46BCDXR · pith_short_8: 3CWGZKMW

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/3CWGZKMWD46BCDXRAXYHRETZB7 \
  | 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: d8ac6ca9961f3c110ef105f07892790ffe239b75c472ce7c5b96eba97bfc7f1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c30a79e456ce2f56feca3c731e9485f50da609886f49a694e0c3eab0b64387b2",
    "cross_cats_sorted": [
      "q-bio.QM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2020-07-27T15:34:31Z",
    "title_canon_sha256": "bbbd58caf831b828865e8edbea45c6e9fa0dd7948eec8aa4d5092ec2cf1a9499"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.13637",
    "kind": "arxiv",
    "version": 2
  }
}