Pith Number

pith:JNAGJX6F

pith:2025:JNAGJX6FTWXN6NWMXTKV22EJ3H

not attested not anchored not stored refs pending

On Branch-and-Price for Project Scheduling

Martin Grunow, Maximilian Kolter, Rainer Kolisch

arxiv:2501.04563 v1 · 2025-01-08 · 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{JNAGJX6FTWXN6NWMXTKV22EJ3H}

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	2026-07-05T09:58:37.342375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b4064dfc59daedf36ccbcd55d6889d9c845dfcd8664c641e6ad0d0503ff9d31

Aliases

arxiv: 2501.04563 · arxiv_version: 2501.04563v1 · doi: 10.48550/arxiv.2501.04563 · pith_short_12: JNAGJX6FTWXN · pith_short_16: JNAGJX6FTWXN6NWM · pith_short_8: JNAGJX6F

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/JNAGJX6FTWXN6NWMXTKV22EJ3H \
  | 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: 4b4064dfc59daedf36ccbcd55d6889d9c845dfcd8664c641e6ad0d0503ff9d31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c94ff2cb92163d460c04357d26c0e89988b55bb1894bb2a6f062bed97efcce7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-01-08T15:24:20Z",
    "title_canon_sha256": "2bb9ca067f5b19378060db700030c3ab9da936a95df440c45256bd1aa0b61cff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.04563",
    "kind": "arxiv",
    "version": 1
  }
}