Pith Number

pith:ECWVOG66

pith:2015:ECWVOG66BCKJRNORMEYTQTOHMS

not attested not anchored not stored refs pending

Equivalent formulations for the branched transport and urban planning problems

Alessio Brancolini, Benedikt Wirth

arxiv:1509.06698 v2 · 2015-09-22 · math.OC · math.AP · 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{ECWVOG66BCKJRNORMEYTQTOHMS}

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	2026-05-18T00:30:33.196961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20ad571bde089498b5d16131384dc76492418377bc4fd0d138594b6df28daaa4

Aliases

arxiv: 1509.06698 · arxiv_version: 1509.06698v2 · doi: 10.48550/arxiv.1509.06698 · pith_short_12: ECWVOG66BCKJ · pith_short_16: ECWVOG66BCKJRNOR · pith_short_8: ECWVOG66

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/ECWVOG66BCKJRNORMEYTQTOHMS \
  | 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: 20ad571bde089498b5d16131384dc76492418377bc4fd0d138594b6df28daaa4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71eff6b9952866485a7125caa1425bc05ba0efdf151583d5e4b4e5884dbe6101",
    "cross_cats_sorted": [
      "math.AP",
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-09-22T17:33:05Z",
    "title_canon_sha256": "167d71d9678f67bf3ed7d3a95aa043c6ca48ae14b35413259f0f2e8dd9493ef4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06698",
    "kind": "arxiv",
    "version": 2
  }
}