Pith Number

pith:J2PHK6RY

pith:2017:J2PHK6RY4ZFBQNN3JPSL3NQN76

not attested not anchored not stored refs pending

A bijection for essentially 4-connected toroidal triangulations

Benjamin L\'ev\^eque, Nicolas Bonichon

arxiv:1707.08191 v1 · 2017-07-24 · cs.DM · 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{J2PHK6RY4ZFBQNN3JPSL3NQN76}

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	2026-05-18T00:39:25.032241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e9e757a38e64a1835bb4be4bdb60dff88aeb61de8e69adc435d42bad7e6db09

Aliases

arxiv: 1707.08191 · arxiv_version: 1707.08191v1 · doi: 10.48550/arxiv.1707.08191 · pith_short_12: J2PHK6RY4ZFB · pith_short_16: J2PHK6RY4ZFBQNN3 · pith_short_8: J2PHK6RY

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/J2PHK6RY4ZFBQNN3JPSL3NQN76 \
  | 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: 4e9e757a38e64a1835bb4be4bdb60dff88aeb61de8e69adc435d42bad7e6db09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a26735276bb591a9da20550995ce5630952875e22e2d3c2a87827bf355f662f9",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2017-07-24T14:22:09Z",
    "title_canon_sha256": "c5653885d4fed8c973e390a99932f6a34d1a25c12ca1e9fab60bd148640aa15c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.08191",
    "kind": "arxiv",
    "version": 1
  }
}