Pith Number

pith:MY4FVRKG

pith:2017:MY4FVRKGHHBG3GTZR2BHXIWZBK

not attested not anchored not stored refs pending

A fractal shape optimization problem in branched transport

Filippo Santambrogio (LM-Orsay), Paul Pegon (LM-Orsay), Qinglan Xia (UC Davis)

arxiv:1709.01415 v2 · 2017-09-05 · math.OC · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MY4FVRKGHHBG3GTZR2BHXIWZBK}

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	2026-05-18T00:27:04.485354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66385ac54639c26d9a798e827ba2d90a8c2b122619148d639ef3a62fb581c923

Aliases

arxiv: 1709.01415 · arxiv_version: 1709.01415v2 · doi: 10.48550/arxiv.1709.01415 · pith_short_12: MY4FVRKGHHBG · pith_short_16: MY4FVRKGHHBG3GTZ · pith_short_8: MY4FVRKG

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/MY4FVRKGHHBG3GTZR2BHXIWZBK \
  | 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: 66385ac54639c26d9a798e827ba2d90a8c2b122619148d639ef3a62fb581c923

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fb4a25ad4b8af06e41407b7c392c7adf55a2d2dc9f609e32d1d99988a2b54ab",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2017-09-05T14:29:27Z",
    "title_canon_sha256": "4250109528539f0e1b55bcb00ca1fc0744723263c2fac2fc4ceaef61cbcdc36c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.01415",
    "kind": "arxiv",
    "version": 2
  }
}