Pith Number

pith:J5U77DCA

pith:2015:J5U77DCALUIIEWEPSNGE56M3D7

not attested not anchored not stored refs pending

Totally Unimodular Congestion Games

Alberto Del Pia, Carla Michini, Michael Ferris

arxiv:1511.02784 v2 · 2015-11-09 · cs.GT · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J5U77DCALUIIEWEPSNGE56M3D7}

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	2026-05-18T01:10:20.225372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f69ff8c405d1082588f934c4ef99b1fcd119901c11f97212c66781096fd7569

Aliases

arxiv: 1511.02784 · arxiv_version: 1511.02784v2 · doi: 10.48550/arxiv.1511.02784 · pith_short_12: J5U77DCALUII · pith_short_16: J5U77DCALUIIEWEP · pith_short_8: J5U77DCA

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/J5U77DCALUIIEWEPSNGE56M3D7 \
  | 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: 4f69ff8c405d1082588f934c4ef99b1fcd119901c11f97212c66781096fd7569

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4c1841d909cd21690a15428449e4fba42c439cfa3a771872b0895fc422e2e20",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2015-11-09T17:49:42Z",
    "title_canon_sha256": "ac37c478622004e320502bdafbbf23e88a491075196b0751e23ebc6a92304718"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02784",
    "kind": "arxiv",
    "version": 2
  }
}