Pith Number

pith:ZX6O3Z4T

pith:2017:ZX6O3Z4TL7A23AXPC5O6WF2TZF

not attested not anchored not stored refs pending

Triple covers and a non-simply connected surface spanning an elongated tetrahedron and beating the cone

Franco Pasquarelli, Giovanni Bellettini, Maurizio Paolini

arxiv:1705.09122 v3 · 2017-05-25 · math.GT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZX6O3Z4TL7A23AXPC5O6WF2TZF}

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	2026-05-18T00:40:52.572006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdfcede7935fc1ad82ef175deb1753c95eff18855a07c3a067a1b571b7203155

Aliases

arxiv: 1705.09122 · arxiv_version: 1705.09122v3 · doi: 10.48550/arxiv.1705.09122 · pith_short_12: ZX6O3Z4TL7A2 · pith_short_16: ZX6O3Z4TL7A23AXP · pith_short_8: ZX6O3Z4T

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/ZX6O3Z4TL7A23AXPC5O6WF2TZF \
  | 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: cdfcede7935fc1ad82ef175deb1753c95eff18855a07c3a067a1b571b7203155

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b16890bdd69da67fcd3817ccb5512ef72120c174c8379a8b2c359ab56af6845",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-05-25T10:53:08Z",
    "title_canon_sha256": "a01c16772b435942213510e49cc0e62d9022fd7f23a6095141397b8726635cd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.09122",
    "kind": "arxiv",
    "version": 3
  }
}