Pith Number

pith:WIKYSFZ4

pith:2014:WIKYSFZ435IFOK2A4QBFEM4JKZ

not attested not anchored not stored refs pending

Separation index of graphs and stacked 2-spheres

Basudeb Datta, Benjamin A. Burton, Jonathan Spreer, Nitin Singh

arxiv:1403.5862 v3 · 2014-03-24 · math.GT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WIKYSFZ435IFOK2A4QBFEM4JKZ}

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	2026-05-18T00:02:36.951395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b21589173cdf50572b40e402523389564841df043a90b1a283be98e1e07402b7

Aliases

arxiv: 1403.5862 · arxiv_version: 1403.5862v3 · doi: 10.48550/arxiv.1403.5862 · pith_short_12: WIKYSFZ435IF · pith_short_16: WIKYSFZ435IFOK2A · pith_short_8: WIKYSFZ4

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/WIKYSFZ435IFOK2A4QBFEM4JKZ \
  | 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: b21589173cdf50572b40e402523389564841df043a90b1a283be98e1e07402b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad89b7820e4500f20bb0aebcbc8db16858660a9c8546c5713255b24bf75aaa26",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-03-24T06:05:51Z",
    "title_canon_sha256": "e6204b537baf3dd310c0ec3bb7505b7eb627e353e727b171b172a96ece7167d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.5862",
    "kind": "arxiv",
    "version": 3
  }
}