Pith Number

pith:YUM6RYVQ

pith:2018:YUM6RYVQ6T74DBWKOJCH7SBUTV

not attested not anchored not stored refs pending

Homotopy classes of proper maps out of vector bundles

Thomas O. Rot

arxiv:1808.08073 v2 · 2018-08-24 · math.AT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YUM6RYVQ6T74DBWKOJCH7SBUTV}

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	2026-05-17T23:51:49.189827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c519e8e2b0f4ffc186ca72447fc8349d7bdfa0050bfd193f043b040719042212

Aliases

arxiv: 1808.08073 · arxiv_version: 1808.08073v2 · doi: 10.48550/arxiv.1808.08073 · pith_short_12: YUM6RYVQ6T74 · pith_short_16: YUM6RYVQ6T74DBWK · pith_short_8: YUM6RYVQ

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/YUM6RYVQ6T74DBWKOJCH7SBUTV \
  | 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: c519e8e2b0f4ffc186ca72447fc8349d7bdfa0050bfd193f043b040719042212

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94e37579451cd77c98079bd906625d6af7a073238ed5ac138167e07b60925f0b",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-08-24T10:14:23Z",
    "title_canon_sha256": "c83f5990c7e1f633942a1e383411ba01ee2d0008b8bf60afa3857f1fb8439ef8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.08073",
    "kind": "arxiv",
    "version": 2
  }
}