Pith Number

pith:2K3NYY4H

pith:2017:2K3NYY4HS7FJDO4JGV2JT7IYEH

not attested not anchored not stored refs pending

Vertex transitive graphs $G$ with $\chi_D(G) > \chi(G)$ and small automorphism group

Niranjan Balachandran, Pablo Spiga, Sajith Padinhatteeri

arxiv:1705.10465 v1 · 2017-05-30 · 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{2K3NYY4HS7FJDO4JGV2JT7IYEH}

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	2026-05-18T00:43:24.491966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2b6dc638797ca91bb89357499fd1821c1ad82bea9f5f55beba4d0a6bd9ff744

Aliases

arxiv: 1705.10465 · arxiv_version: 1705.10465v1 · doi: 10.48550/arxiv.1705.10465 · pith_short_12: 2K3NYY4HS7FJ · pith_short_16: 2K3NYY4HS7FJDO4J · pith_short_8: 2K3NYY4H

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/2K3NYY4HS7FJDO4JGV2JT7IYEH \
  | 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: d2b6dc638797ca91bb89357499fd1821c1ad82bea9f5f55beba4d0a6bd9ff744

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4210c2b43a5718b32ac639e3dd9cbe0d43ce1c64c940d661b4f223808ee2115",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-30T06:09:27Z",
    "title_canon_sha256": "baae9e08a8f25f01ab3d322c78ae4b251b1a858fd708616b07c250beb5ab6739"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.10465",
    "kind": "arxiv",
    "version": 1
  }
}