Pith Number

pith:ZCIDDKD4

pith:2013:ZCIDDKD4FUZOYW4SM5YVX7DMOM

not attested not anchored not stored refs pending

The Network Improvement Problem for Equilibrium Routing

Katrina Ligett, Leonard J. Schulman, Umang Bhaskar

arxiv:1307.3794 v2 · 2013-07-14 · cs.GT · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZCIDDKD4FUZOYW4SM5YVX7DMOM}

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	2026-05-18T03:07:34.029196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c89031a87c2d32ec5b9267715bfc6c731e57053167ea1525cf0303b46f6cf7e8

Aliases

arxiv: 1307.3794 · arxiv_version: 1307.3794v2 · doi: 10.48550/arxiv.1307.3794 · pith_short_12: ZCIDDKD4FUZO · pith_short_16: ZCIDDKD4FUZOYW4S · pith_short_8: ZCIDDKD4

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/ZCIDDKD4FUZOYW4SM5YVX7DMOM \
  | 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: c89031a87c2d32ec5b9267715bfc6c731e57053167ea1525cf0303b46f6cf7e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13cd49cb0d936e86daeda8c1f7b16195291e7f0f0da5885465f90bd3ae26e44f",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2013-07-14T23:16:23Z",
    "title_canon_sha256": "2486d9b55396a98eb6a8707da49291f8f175fe2a1970c82ce2ad8476ebc5e094"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3794",
    "kind": "arxiv",
    "version": 2
  }
}