Pith Number

pith:7PIGTCVC

pith:2026:7PIGTCVCARJN25ATW5KP6B7EHA

not attested not anchored not stored refs pending

Non-smoothable surfaces in the 4-sphere

Anthony Conway, Daniel Galvin

arxiv:2603.22202 v2 · 2026-03-23 · 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{7PIGTCVCARJN25ATW5KP6B7EHA}

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	2026-05-22T02:04:40.367426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbd0698aa20452dd7413b754ff07e438028bbf04aeac2708f151ace1ceeef7d2

Aliases

arxiv: 2603.22202 · arxiv_version: 2603.22202v2 · doi: 10.48550/arxiv.2603.22202 · pith_short_12: 7PIGTCVCARJN · pith_short_16: 7PIGTCVCARJN25AT · pith_short_8: 7PIGTCVC

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/7PIGTCVCARJN25ATW5KP6B7EHA \
  | 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: fbd0698aa20452dd7413b754ff07e438028bbf04aeac2708f151ace1ceeef7d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "418a2c2cffd04597599853f3c47d2224a4e8c2bb47e146443b7c1ff43f568d10",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-03-23T16:59:05Z",
    "title_canon_sha256": "90d4462d4cda3ba38a1707d84a1cdab27b1415a85ddd77c330a1c2d3570b30ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.22202",
    "kind": "arxiv",
    "version": 2
  }
}