Pith Number

pith:PUYZTMWY

pith:2017:PUYZTMWYLM4U7TQRL6CGSC6ASM

not attested not anchored not stored refs pending

Connected sums of $Z$-knotted triangulations

Adam Tyc, Mark Pankov

arxiv:1703.07097 v2 · 2017-03-21 · math.CO · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PUYZTMWYLM4U7TQRL6CGSC6ASM}

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	2026-05-18T00:38:08.860576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d3199b2d85b394fce115f84690bc0932772b8cdfbdd94b33872d7eefbe61794

Aliases

arxiv: 1703.07097 · arxiv_version: 1703.07097v2 · doi: 10.48550/arxiv.1703.07097 · pith_short_12: PUYZTMWYLM4U · pith_short_16: PUYZTMWYLM4U7TQR · pith_short_8: PUYZTMWY

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/PUYZTMWYLM4U7TQRL6CGSC6ASM \
  | 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: 7d3199b2d85b394fce115f84690bc0932772b8cdfbdd94b33872d7eefbe61794

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f66c43aa689a746393cc55d762e10497fb97d1557a9891c1f9bf53d3344ac28c",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-03-21T08:56:34Z",
    "title_canon_sha256": "31b1e9eed24a8bdb13cff342ede9b40c4725599d6cc9b0ca5cd2ad7856202d4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.07097",
    "kind": "arxiv",
    "version": 2
  }
}