Pith Number

pith:42AFCCA6

pith:2014:42AFCCA6DLBJPYTFKNO36PGO2V

not attested not anchored not stored refs pending

Floer theory and topology of $Diff (S^2)$

Yasha Savelyev

arxiv:1409.3975 v4 · 2014-09-13 · math.SG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{42AFCCA6DLBJPYTFKNO36PGO2V}

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	2026-05-18T01:04:00.486657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e68051081e1ac297e265535dbf3cced5775cc1fec32d0f4c84db529e29d9e656

Aliases

arxiv: 1409.3975 · arxiv_version: 1409.3975v4 · doi: 10.48550/arxiv.1409.3975 · pith_short_12: 42AFCCA6DLBJ · pith_short_16: 42AFCCA6DLBJPYTF · pith_short_8: 42AFCCA6

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/42AFCCA6DLBJPYTFKNO36PGO2V \
  | 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: e68051081e1ac297e265535dbf3cced5775cc1fec32d0f4c84db529e29d9e656

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6cae8156633cd7c96863413fa3a3042b21247f7f7c30b27de946da929b25d02",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2014-09-13T17:55:15Z",
    "title_canon_sha256": "db79c048e3d05e1f6e785a85c01b93e45fb4c679a9a88460232301261e5fb152"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.3975",
    "kind": "arxiv",
    "version": 4
  }
}