Pith Number

pith:EZ4KH3YD

pith:2021:EZ4KH3YDFE2KSKXKXUC4UGYEOG

not attested not anchored not stored refs pending

The Bicycle Network Improvement Problem

Jisoon Lim, Kevin Dalmeijer, Pascal Van Hentenryck, Subhrajit Guhathakurta

arxiv:2107.04451 v2 · 2021-07-09 · 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{EZ4KH3YDFE2KSKXKXUC4UGYEOG}

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	2026-07-05T04:46:32.123247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2678a3ef032934a92aeabd05ca1b0471893dfb22bbbb9c70fce16b449d357f0b

Aliases

arxiv: 2107.04451 · arxiv_version: 2107.04451v2 · doi: 10.48550/arxiv.2107.04451 · pith_short_12: EZ4KH3YDFE2K · pith_short_16: EZ4KH3YDFE2KSKXK · pith_short_8: EZ4KH3YD

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/EZ4KH3YDFE2KSKXKXUC4UGYEOG \
  | 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: 2678a3ef032934a92aeabd05ca1b0471893dfb22bbbb9c70fce16b449d357f0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f51f032890150736d30cbe61776b2f57fadf555d06b26a0de849997bcedf02d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-07-09T13:57:20Z",
    "title_canon_sha256": "c2fcd5531551840be253611e70a57d2b5ff7f4679180bc8f6b23b453ffd7c980"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.04451",
    "kind": "arxiv",
    "version": 2
  }
}