Pith Number

pith:OQ3P2JW4

pith:2024:OQ3P2JW4EIHCQCIBMVNUU7LM3W

not attested not anchored not stored refs pending

Stochastic homogenisation of nonlinear minimum-cost flow problems

Jan Maas, Lorenzo Portinale, Peter Gladbach

arxiv:2412.05217 v3 · 2024-12-06 · math.AP · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OQ3P2JW4EIHCQCIBMVNUU7LM3W}

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	2026-07-05T11:27:22.469186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7436fd26dc220e280901655b4a7d6cddb975dce312209b426ced5017711986e3

Aliases

arxiv: 2412.05217 · arxiv_version: 2412.05217v3 · doi: 10.48550/arxiv.2412.05217 · pith_short_12: OQ3P2JW4EIHC · pith_short_16: OQ3P2JW4EIHCQCIB · pith_short_8: OQ3P2JW4

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/OQ3P2JW4EIHCQCIBMVNUU7LM3W \
  | 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: 7436fd26dc220e280901655b4a7d6cddb975dce312209b426ced5017711986e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d458f351214838fe9c4828185d1c41d8c7777b73508278fbb9109103a4d7912a",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-12-06T17:48:10Z",
    "title_canon_sha256": "267982744a60cb70fdf1c260452c94155271b12a7c1bb232a30c04775a3655ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.05217",
    "kind": "arxiv",
    "version": 3
  }
}