Pith Number

pith:FDAFZFXK

pith:2016:FDAFZFXKAFYFMUG7YONKUVSCEY

not attested not anchored not stored refs pending

A homotopy+ solution to the A-B slice problem

Michael Freedman, Vyacheslav Krushkal

arxiv:1601.05066 v2 · 2016-01-19 · math.GT

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

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	2026-05-18T00:55:25.352987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28c05c96ea01705650dfc39aaa564226167255067e85b787b1bbccb065140255

Aliases

arxiv: 1601.05066 · arxiv_version: 1601.05066v2 · doi: 10.48550/arxiv.1601.05066 · pith_short_12: FDAFZFXKAFYF · pith_short_16: FDAFZFXKAFYFMUG7 · pith_short_8: FDAFZFXK

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/FDAFZFXKAFYFMUG7YONKUVSCEY \
  | 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: 28c05c96ea01705650dfc39aaa564226167255067e85b787b1bbccb065140255

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58b9242db21233e96b881e649cc884c3558693f3dde93553aba6bccfaf74edf6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-01-19T20:30:17Z",
    "title_canon_sha256": "794322adf3d40c34e530cc96de92acdfee769e5b7bc20e629b247e65ace2eb5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05066",
    "kind": "arxiv",
    "version": 2
  }
}