Pith Number

pith:36XWQGLW

pith:2015:36XWQGLWYNUWDF2WHSOL245N5L

not attested not anchored not stored refs pending

Non-cyclic graphs of (non)orientable genus one

Xuanlong Ma

arxiv:1512.00935 v1 · 2015-12-03 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{36XWQGLWYNUWDF2WHSOL245N5L}

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	2026-05-18T01:25:23.795262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfaf681976c3696197563c9cbd73adeae81447a69f76d6181764a21680fcce09

Aliases

arxiv: 1512.00935 · arxiv_version: 1512.00935v1 · doi: 10.48550/arxiv.1512.00935 · pith_short_12: 36XWQGLWYNUW · pith_short_16: 36XWQGLWYNUWDF2W · pith_short_8: 36XWQGLW

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/36XWQGLWYNUWDF2WHSOL245N5L \
  | 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: dfaf681976c3696197563c9cbd73adeae81447a69f76d6181764a21680fcce09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c5a29ddcb83bc2b38653a17130cbc6753d676ba0d9062f448a5b4be8f3bb1ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-12-03T03:16:32Z",
    "title_canon_sha256": "3a97ccaa8a48cca92103478512c6cb0574658a02ceebb44863025a8482938cae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00935",
    "kind": "arxiv",
    "version": 1
  }
}