Pith Number

pith:TUTWR6QF

pith:2026:TUTWR6QFADCW5N7FSS36O67MC5

not attested not anchored not stored refs pending

Minimal surfaces, Knots, and Neural Networks

Marco Usula, Tancredi Schettini Gherardini

arxiv:2605.26234 v1 · 2026-05-25 · math.DG · cs.LG · 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{TUTWR6QFADCW5N7FSS36O67MC5}

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	2026-05-27T00:04:29.944919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d2768fa0500c56eb7e594b7e77bec1744e213052879c410b36bf92ac526363a

Aliases

arxiv: 2605.26234 · arxiv_version: 2605.26234v1 · doi: 10.48550/arxiv.2605.26234 · pith_short_12: TUTWR6QFADCW · pith_short_16: TUTWR6QFADCW5N7F · pith_short_8: TUTWR6QF

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/TUTWR6QFADCW5N7FSS36O67MC5 \
  | 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: 9d2768fa0500c56eb7e594b7e77bec1744e213052879c410b36bf92ac526363a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bec8c5a41060e1ca0f1e52df2ae444444d2d39f21bd3b855efd5503f16ba7d5",
    "cross_cats_sorted": [
      "cs.LG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-05-25T18:02:41Z",
    "title_canon_sha256": "d683fb382479a62eea3ba2e5028ffbe414da991010c862ce169069563a7e1b4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.26234",
    "kind": "arxiv",
    "version": 1
  }
}