Pith Number

pith:7SATEPR3

pith:2020:7SATEPR3PGUSZWRW45RYJVGTKV

not attested not anchored not stored refs pending

Joint Optimization of Transfer Location and Capacity in a Multimodal Transport Network: Bilevel Modeling and Paradoxes

Jiao Ye, Jun Chen, Yu Jiang

arxiv:2005.09270 v1 · 2020-05-19 · 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{7SATEPR3PGUSZWRW45RYJVGTKV}

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	2026-07-05T01:03:48.629786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc81323e3b79a92cda36e76384d4d355633ffcde8d86221d4809a3b1dd65c7bd

Aliases

arxiv: 2005.09270 · arxiv_version: 2005.09270v1 · doi: 10.48550/arxiv.2005.09270 · pith_short_12: 7SATEPR3PGUS · pith_short_16: 7SATEPR3PGUSZWRW · pith_short_8: 7SATEPR3

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/7SATEPR3PGUSZWRW45RYJVGTKV \
  | 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: fc81323e3b79a92cda36e76384d4d355633ffcde8d86221d4809a3b1dd65c7bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b32d26927e88ae23455800a56f0d40d5113ce2feb47422e818fad666b7b169c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2020-05-19T08:06:36Z",
    "title_canon_sha256": "a9a493c0349e352d5a2006547df06789d0c865519e75f8c6e34b6a8ab66794d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.09270",
    "kind": "arxiv",
    "version": 1
  }
}