Pith Number

pith:JF4CEAWO

pith:2020:JF4CEAWOBNZFYZXQPKHSTQBICU

not attested not anchored not stored refs pending

On invariants of surfaces in the $3$-sphere

Hiroaki Kurihara

arxiv:2004.12342 v2 · 2020-04-26 · 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{JF4CEAWOBNZFYZXQPKHSTQBICU}

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	2026-07-05T04:00:46.880984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49782202ce0b725c66f07a8f29c028151fe539dc8f380fd60054c9605eedf99d

Aliases

arxiv: 2004.12342 · arxiv_version: 2004.12342v2 · doi: 10.48550/arxiv.2004.12342 · pith_short_12: JF4CEAWOBNZF · pith_short_16: JF4CEAWOBNZFYZXQ · pith_short_8: JF4CEAWO

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/JF4CEAWOBNZFYZXQPKHSTQBICU \
  | 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: 49782202ce0b725c66f07a8f29c028151fe539dc8f380fd60054c9605eedf99d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01d000f3e068832dee2581caf247be3761d3c96b3e26c3ceb57be71d9098928e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2020-04-26T10:26:06Z",
    "title_canon_sha256": "bfba656d0e9a1fc02d0cc5c687d155cc518411f2524bb1dd02a3fba9d0e92797"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.12342",
    "kind": "arxiv",
    "version": 2
  }
}