Pith Number

pith:GXFQBWEM

pith:2024:GXFQBWEMZSQY7ZDVOHPQIZ6Z46

not attested not anchored not stored refs pending

A note on homotopy and pseudoisotopy of diffeomorphisms of $4$-manifolds

Alexander Kupers, Manuel Krannich

arxiv:2402.16167 v3 · 2024-02-25 · 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{GXFQBWEMZSQY7ZDVOHPQIZ6Z46}

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	2026-07-05T09:08:23.562476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35cb00d88ccca18fe47571df0467d9e799e41c4c3c4488597c84c368ebf0687b

Aliases

arxiv: 2402.16167 · arxiv_version: 2402.16167v3 · doi: 10.48550/arxiv.2402.16167 · pith_short_12: GXFQBWEMZSQY · pith_short_16: GXFQBWEMZSQY7ZDV · pith_short_8: GXFQBWEM

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/GXFQBWEMZSQY7ZDVOHPQIZ6Z46 \
  | 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: 35cb00d88ccca18fe47571df0467d9e799e41c4c3c4488597c84c368ebf0687b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35d5a6cbc0b0642ab606d936b7afd24da65809c55721ca5da1870b4511a8ba03",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2024-02-25T18:29:11Z",
    "title_canon_sha256": "37e0c0ca1c800ca277035da284ecf10c7ce61859e905313a45e51c1c7071cd01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.16167",
    "kind": "arxiv",
    "version": 3
  }
}