Pith Number

pith:KGEXDMBC

pith:2018:KGEXDMBC4YXNZSNUMNIFRSD3KC

not attested not anchored not stored refs pending

Some remarks on PL collapsible covers of 2-dimensional polyhedra

Eugenio Borghini

arxiv:1802.01538 v1 · 2018-02-05 · math.GT · 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{KGEXDMBC4YXNZSNUMNIFRSD3KC}

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	2026-05-18T00:24:25.622616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

518971b022e62edcc9b4635058c87b50a8f2dcfc468b257c28578fca4633ee24

Aliases

arxiv: 1802.01538 · arxiv_version: 1802.01538v1 · doi: 10.48550/arxiv.1802.01538 · pith_short_12: KGEXDMBC4YXN · pith_short_16: KGEXDMBC4YXNZSNU · pith_short_8: KGEXDMBC

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/KGEXDMBC4YXNZSNUMNIFRSD3KC \
  | 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: 518971b022e62edcc9b4635058c87b50a8f2dcfc468b257c28578fca4633ee24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ce26594395c76ba1f204914472cf2f6e970b91bc2f03620b0b8be58bcdddfb0",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-02-05T18:05:42Z",
    "title_canon_sha256": "04646e3c1af3e821840e1c74d88dce0594d539048e109f4eb594786d419db433"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.01538",
    "kind": "arxiv",
    "version": 1
  }
}