Pith Number

pith:K2RPJ2QR

pith:2018:K2RPJ2QREBOJRN25MJYDJ2KLS4

not attested not anchored not stored refs pending

On characteristic classes of exotic manifold bundles

Manuel Krannich

arxiv:1802.02609 v2 · 2018-02-07 · 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{K2RPJ2QREBOJRN25MJYDJ2KLS4}

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	2026-07-05T03:55:23.423295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56a2f4ea11205c98b75d627034e94b972f6272e5acd9d96cd19b750c2dddd5a2

Aliases

arxiv: 1802.02609 · arxiv_version: 1802.02609v2 · doi: 10.48550/arxiv.1802.02609 · pith_short_12: K2RPJ2QREBOJ · pith_short_16: K2RPJ2QREBOJRN25 · pith_short_8: K2RPJ2QR

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/K2RPJ2QREBOJRN25MJYDJ2KLS4 \
  | 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: 56a2f4ea11205c98b75d627034e94b972f6272e5acd9d96cd19b750c2dddd5a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fca5bb22294ae76c63846e92567c7c840a547d30f44248172a370ab33f6b812c",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-02-07T19:33:51Z",
    "title_canon_sha256": "123469cbc2eb395007e908fb73f3f153aeec35dad573c437aac314421586ecf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.02609",
    "kind": "arxiv",
    "version": 2
  }
}