Pith Number

pith:W5VOAD4P

pith:2019:W5VOAD4P3KBFDKWR3XFYBSA6J6

not attested not anchored not stored refs pending

On semi-transitive orientability of Kneser graphs and their complements

Akira Saito, Sergey Kitaev

arxiv:1903.02777 v1 · 2019-03-07 · 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{W5VOAD4P3KBFDKWR3XFYBSA6J6}

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	2026-05-17T23:51:51.148593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b76ae00f8fda8251aad1ddcb80c81e4f85d7a6e213a4bd4546385fcc09bb4b4b

Aliases

arxiv: 1903.02777 · arxiv_version: 1903.02777v1 · doi: 10.48550/arxiv.1903.02777 · pith_short_12: W5VOAD4P3KBF · pith_short_16: W5VOAD4P3KBFDKWR · pith_short_8: W5VOAD4P

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/W5VOAD4P3KBFDKWR3XFYBSA6J6 \
  | 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: b76ae00f8fda8251aad1ddcb80c81e4f85d7a6e213a4bd4546385fcc09bb4b4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f384ba59cdcd8940ab6e3d48a638b30f6415eb3a2d0f032bead431fa64635cbd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-03-07T09:05:18Z",
    "title_canon_sha256": "14c1ea181fee1bc8a4e5fb9813ab3f13bdb626e264dd0841170a932bcc3626ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.02777",
    "kind": "arxiv",
    "version": 1
  }
}