Pith Number

pith:U52OEKBW

pith:2018:U52OEKBWFBZZEBRKK4KMCNSQFF

not attested not anchored not stored refs pending

Remarks on the self-shrinking Clifford torus

Christopher G. Evans, Felix Schulze, Jason D. Lotay

arxiv:1802.01423 v3 · 2018-02-05 · math.DG · math.AP · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U52OEKBWFBZZEBRKK4KMCNSQFF}

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	2026-07-05T02:10:36.068414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a774e22836287392062a5714c13650295720383278e93a288e0c1769f031f167

Aliases

arxiv: 1802.01423 · arxiv_version: 1802.01423v3 · doi: 10.48550/arxiv.1802.01423 · pith_short_12: U52OEKBWFBZZ · pith_short_16: U52OEKBWFBZZEBRK · pith_short_8: U52OEKBW

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/U52OEKBWFBZZEBRKK4KMCNSQFF \
  | 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: a774e22836287392062a5714c13650295720383278e93a288e0c1769f031f167

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b8fa9720428e87ecee9c024ac743cd5ba83202d56660b835b61ef48a58370aa",
    "cross_cats_sorted": [
      "math.AP",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-02-05T14:39:39Z",
    "title_canon_sha256": "06888a365e91ea0fffa3c62af8126ee67a48eab982d7edfad97022146bf34aef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.01423",
    "kind": "arxiv",
    "version": 3
  }
}