Pith Number

pith:ZE2GD4XK

pith:2017:ZE2GD4XKMNJASF7XO4TIWPELBI

not attested not anchored not stored refs pending

Topological Representation of the Transit Sets of k-Point Crossover Operators

Abisha Ramachandran, Ferdoos Hossein Nezhad, Manoj Changat, Matja\v{z} Kov\v{s}e, Peter F. Stadler, Prasanth G. Narasimha-Shenoi, Shilpa Mohandas

arxiv:1712.09022 v1 · 2017-12-25 · math.CO · cs.DM · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZE2GD4XKMNJASF7XO4TIWPELBI}

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	2026-05-18T00:27:14.595502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c93461f2ea63520917f777268b3c8b0a36e88505ac8bc0cf18125299fd7bc1bb

Aliases

arxiv: 1712.09022 · arxiv_version: 1712.09022v1 · doi: 10.48550/arxiv.1712.09022 · pith_short_12: ZE2GD4XKMNJA · pith_short_16: ZE2GD4XKMNJASF7X · pith_short_8: ZE2GD4XK

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/ZE2GD4XKMNJASF7XO4TIWPELBI \
  | 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: c93461f2ea63520917f777268b3c8b0a36e88505ac8bc0cf18125299fd7bc1bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e42a980cd4bbd1d344ba9a523b3175ae4c694cca9c1feffce90c61e3c5444e5e",
    "cross_cats_sorted": [
      "cs.DM",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-12-25T07:11:34Z",
    "title_canon_sha256": "81191e1c5b86e686aa80c10390b2c77db733228526f7f7e857ace6d99f1fa111"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.09022",
    "kind": "arxiv",
    "version": 1
  }
}