Pith Number

pith:GIEOKQ64

pith:2012:GIEOKQ64RF2SFQ2UJIF7R6QPKG

not attested not anchored not stored refs pending

Braess' Paradox in a Generalised Traffic Network

Erel Avineri, Vadim Zverovich

arxiv:1207.3251 v1 · 2012-07-13 · math.CO · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GIEOKQ64RF2SFQ2UJIF7R6QPKG}

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	2026-05-18T03:51:02.960300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3208e543dc897522c3544a0bf8fa0f5183696071af35ecbfa5d905742229a4c5

Aliases

arxiv: 1207.3251 · arxiv_version: 1207.3251v1 · doi: 10.48550/arxiv.1207.3251 · pith_short_12: GIEOKQ64RF2S · pith_short_16: GIEOKQ64RF2SFQ2U · pith_short_8: GIEOKQ64

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/GIEOKQ64RF2SFQ2UJIF7R6QPKG \
  | 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: 3208e543dc897522c3544a0bf8fa0f5183696071af35ecbfa5d905742229a4c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f41ddb61abd6c97078c656d038103e90b46e6be8442c78ff0beda63ff2d29300",
    "cross_cats_sorted": [
      "cs.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-07-13T14:08:15Z",
    "title_canon_sha256": "84884a0ec6b75c4e05bb134fc6614aeca7fc7ee2deb3fb6c96787353a0711b03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3251",
    "kind": "arxiv",
    "version": 1
  }
}