Pith Number

pith:MLKORRU6

pith:2020:MLKORRU67DDN3DMTYCINDMZ7NE

not attested not anchored not stored refs pending

A homological approach to pseudoisotopy theory. I

Manuel Krannich

arxiv:2002.04647 v3 · 2020-02-11 · 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{MLKORRU67DDN3DMTYCINDMZ7NE}

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	2026-07-05T04:00:11.149993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62d4e8c69ef8c6dd8d93c090d1b33f693a44b6db0a8a7d99fecceb5a8a352eb4

Aliases

arxiv: 2002.04647 · arxiv_version: 2002.04647v3 · doi: 10.48550/arxiv.2002.04647 · pith_short_12: MLKORRU67DDN · pith_short_16: MLKORRU67DDN3DMT · pith_short_8: MLKORRU6

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/MLKORRU67DDN3DMTYCINDMZ7NE \
  | 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: 62d4e8c69ef8c6dd8d93c090d1b33f693a44b6db0a8a7d99fecceb5a8a352eb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbf8dbea7babd8589de55d616beff1af003d74d09a13e0de9dd684bba7a149de",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2020-02-11T19:48:52Z",
    "title_canon_sha256": "f7227a0a32ab580d31b0a088c1bb84275f13f1e70a315a89284c0f93f90709c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.04647",
    "kind": "arxiv",
    "version": 3
  }
}