Pith Number

pith:SSZJ3U62

pith:2016:SSZJ3U62AI2SXZFLUC2RCH4LV4

not attested not anchored not stored refs pending

Families of exotic affine 3-spheres

Adrien Dubouloz (IMB)

arxiv:1610.01409 v1 · 2016-10-05 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SSZJ3U62AI2SXZFLUC2RCH4LV4}

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	2026-05-18T01:03:10.922390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94b29dd3da02352be4aba0b5111f8baf2821e1c136b4872b5208594748c02a98

Aliases

arxiv: 1610.01409 · arxiv_version: 1610.01409v1 · doi: 10.48550/arxiv.1610.01409 · pith_short_12: SSZJ3U62AI2S · pith_short_16: SSZJ3U62AI2SXZFL · pith_short_8: SSZJ3U62

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/SSZJ3U62AI2SXZFLUC2RCH4LV4 \
  | 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: 94b29dd3da02352be4aba0b5111f8baf2821e1c136b4872b5208594748c02a98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57cd29fd00ff09df98b3b8de10ae527c74c9cc203a59a84a92ed3408b9436fa1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-10-05T13:30:19Z",
    "title_canon_sha256": "c713ddc73d3de1545b8d4e32cb9673fb27bdd71f720e2dc6797f5fd98999c0c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01409",
    "kind": "arxiv",
    "version": 1
  }
}