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Pith Number

pith:JMPDPGEK

pith:2019:JMPDPGEKTMD3IH7EEPE5RXKIKD
not attested not anchored not stored refs pending

Plane bipolar orientations and quadrant walks

\'Eric Fusy, Kilian Raschel, Mireille Bousquet-M\'elou

arxiv:1905.04256 v3 · 2019-05-10 · math.CO · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JMPDPGEKTMD3IH7EEPE5RXKIKD}

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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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-07-05T02:18:13.598119Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4b1e37988a9b07b41fe423c9d8dd4850e09e578ccb417674ff0c21ef39e35f41

Aliases

arxiv: 1905.04256 · arxiv_version: 1905.04256v3 · doi: 10.48550/arxiv.1905.04256 · pith_short_12: JMPDPGEKTMD3 · pith_short_16: JMPDPGEKTMD3IH7E · pith_short_8: JMPDPGEK
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JMPDPGEKTMD3IH7EEPE5RXKIKD \
  | 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: 4b1e37988a9b07b41fe423c9d8dd4850e09e578ccb417674ff0c21ef39e35f41
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6b7f39508bd289379412194ca1acaa3f473197a45a69a61ce11a831fcac2bcfe",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-05-10T16:57:23Z",
    "title_canon_sha256": "b1c1d429d49cd1f82f5e744265bfa682a0099b2cc7feeba1b3e1058396704bc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.04256",
    "kind": "arxiv",
    "version": 3
  }
}