Pith Number

pith:HKO7YYMC

pith:2026:HKO7YYMC44BSDYI2W4RZFOBIHO

not attested not anchored not stored refs pending

A user's guide to PINNs in geometric analysis: lessons from the asymptotic Plateau problem

Tancredi Schettini Gherardini

arxiv:2607.28733 v1 · 2026-07-30 · math.DG · cs.AI · hep-th · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HKO7YYMC44BSDYI2W4RZFOBIHO}

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	2026-08-03T00:12:31.201877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a9dfc6182e70321e11ab72392b8283b9c5f20be27bcdac16ab942a86992cdcd

Aliases

arxiv: 2607.28733 · arxiv_version: 2607.28733v1 · doi: 10.48550/arxiv.2607.28733 · pith_short_12: HKO7YYMC44BS · pith_short_16: HKO7YYMC44BSDYI2 · pith_short_8: HKO7YYMC

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/HKO7YYMC44BSDYI2W4RZFOBIHO \
  | 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: 3a9dfc6182e70321e11ab72392b8283b9c5f20be27bcdac16ab942a86992cdcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ffc7d703ff28b485add12eae70f6d9f73ae4d9507b332572abea24806bf43a9",
    "cross_cats_sorted": [
      "cs.AI",
      "hep-th",
      "math.AP"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-07-30T18:00:09Z",
    "title_canon_sha256": "49f7a73ef094d1009735a7ff810ec6b53a1f4b126e3310f7fc5d92f67b230b08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.28733",
    "kind": "arxiv",
    "version": 1
  }
}