Pith Number

pith:U7HSIJIA

pith:2010:U7HSIJIAL76QRTRKHTEIKTFV43

not attested not anchored not stored refs pending

Phase Synchronization in Railway Timetables

Christoph Fretter, Karsten Weihe, Lachezar Krumov, Marc-Thorsten H\"utt, Matthias M\"uller-Hannemann

arxiv:1003.4012 v1 · 2010-03-21 · cs.DS · math.OC · physics.soc-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U7HSIJIAL76QRTRKHTEIKTFV43}

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	2026-05-18T04:37:22.128071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7cf2425005ffd08ce2a3cc8854cb5e6ecc02a16b462e572ee17a88842f7ee31

Aliases

arxiv: 1003.4012 · arxiv_version: 1003.4012v1 · doi: 10.48550/arxiv.1003.4012 · pith_short_12: U7HSIJIAL76Q · pith_short_16: U7HSIJIAL76QRTRK · pith_short_8: U7HSIJIA

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/U7HSIJIAL76QRTRKHTEIKTFV43 \
  | 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: a7cf2425005ffd08ce2a3cc8854cb5e6ecc02a16b462e572ee17a88842f7ee31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d0a62ecb4369f3c1c7cadecb72c9448be23e4ef2c2b41bd22407fb43770f29b",
    "cross_cats_sorted": [
      "math.OC",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2010-03-21T19:00:06Z",
    "title_canon_sha256": "dca1177b91f86f77a7af5e1b1111149204d33a89bf939e14e9f2628c13e4c4f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.4012",
    "kind": "arxiv",
    "version": 1
  }
}