Pith Number

pith:4Q4FVXNY

pith:2025:4Q4FVXNYSMA7P47KDDMCDN4N3B

not attested not anchored not stored refs pending

Complexity Analysis of a Bicriteria Directed Multimodal Transportation Network Design Problem

Dominik Leib, Neele Leith\"auser, Susanne Fritzler

arxiv:2507.07894 v2 · 2025-07-10 · 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{4Q4FVXNYSMA7P47KDDMCDN4N3B}

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	2026-07-05T11:49:56.791706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4385addb89301f7f3ea18d821b78dd87f09ec4c3fb51e7502580a38d61184d0

Aliases

arxiv: 2507.07894 · arxiv_version: 2507.07894v2 · doi: 10.48550/arxiv.2507.07894 · pith_short_12: 4Q4FVXNYSMA7 · pith_short_16: 4Q4FVXNYSMA7P47K · pith_short_8: 4Q4FVXNY

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/4Q4FVXNYSMA7P47KDDMCDN4N3B \
  | 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: e4385addb89301f7f3ea18d821b78dd87f09ec4c3fb51e7502580a38d61184d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5add3f29af12be4cb685aec446eed018f7c5be0bd460fbd23ac78293a1e1ec5d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-07-10T16:23:09Z",
    "title_canon_sha256": "11c554babcb9de25ae9063cc57711bd2f7ece216fe2b77ad1343aa62e6fc6853"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.07894",
    "kind": "arxiv",
    "version": 2
  }
}