Pith Number

pith:V4EWG5RI

pith:2016:V4EWG5RI7TROMSOZAPRCLLHO6G

not attested not anchored not stored refs pending

Optimal micropatterns in 2D transport networks and their relation to image inpainting

Alessio Brancolini, Benedikt Wirth, Carolin Rossmanith

arxiv:1601.07402 v2 · 2016-01-27 · math.CA · 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{V4EWG5RI7TROMSOZAPRCLLHO6G}

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	2026-05-18T00:30:49.195572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af09637628fce2e649d903e225aceef19d68fc0840dc000750445951a96b4d4f

Aliases

arxiv: 1601.07402 · arxiv_version: 1601.07402v2 · doi: 10.48550/arxiv.1601.07402 · pith_short_12: V4EWG5RI7TRO · pith_short_16: V4EWG5RI7TROMSOZ · pith_short_8: V4EWG5RI

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/V4EWG5RI7TROMSOZAPRCLLHO6G \
  | 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: af09637628fce2e649d903e225aceef19d68fc0840dc000750445951a96b4d4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "400003bf73427e0e6b7d2da37d4d3abf92d4c109c8c7600c872f032141faa036",
    "cross_cats_sorted": [
      "math.AP",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-01-27T15:12:01Z",
    "title_canon_sha256": "fcb16e89071b5afffc0b71c3ceeab7db7b641d939b925d8d2b5bd11f9b646a81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07402",
    "kind": "arxiv",
    "version": 2
  }
}