Pith Number

pith:UWLPFPP4

pith:2016:UWLPFPP4WDXCSEGKWN3EZIZZCW

not attested not anchored not stored refs pending

When Two-Holed Torus Graphs are Hamiltonian

Dhruv Rohatgi

arxiv:1609.01367 v1 · 2016-09-06 · 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{UWLPFPP4WDXCSEGKWN3EZIZZCW}

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	2026-05-18T01:05:39.764911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a596f2bdfcb0ee2910cab3764ca33915804a857221525d0a5157a92ad1b95020

Aliases

arxiv: 1609.01367 · arxiv_version: 1609.01367v1 · doi: 10.48550/arxiv.1609.01367 · pith_short_12: UWLPFPP4WDXC · pith_short_16: UWLPFPP4WDXCSEGK · pith_short_8: UWLPFPP4

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/UWLPFPP4WDXCSEGKWN3EZIZZCW \
  | 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: a596f2bdfcb0ee2910cab3764ca33915804a857221525d0a5157a92ad1b95020

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ad893ef4b88bec73c7fa642200d9e89a162714383161506a749b0edc672736a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-06T01:45:16Z",
    "title_canon_sha256": "2ef0808c4fa46ba725e079c7051466f4ae8e0e6df755a0f4f3b7b395300d6633"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01367",
    "kind": "arxiv",
    "version": 1
  }
}