Pith Number

pith:NUGJIBTO

pith:2026:NUGJIBTOHMPAMCXKWJTFVP4LPU

not attested not anchored not stored refs pending

Adelic Loop Groups and Perfectoid Analogies: Factorization and Holomorphic Bundles on the Adelic Projective Line

Alberto Verjovsky

arxiv:2607.10447 v1 · 2026-07-11 · math.FA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NUGJIBTOHMPAMCXKWJTFVP4LPU}

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	2026-07-14T01:21:16.291427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d0c94066e3b1e060aeab2665abf8b7d2a1055c061ecca19a6a10538b603b070

Aliases

arxiv: 2607.10447 · arxiv_version: 2607.10447v1 · doi: 10.48550/arxiv.2607.10447 · pith_short_12: NUGJIBTOHMPA · pith_short_16: NUGJIBTOHMPAMCXK · pith_short_8: NUGJIBTO

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/NUGJIBTOHMPAMCXKWJTFVP4LPU \
  | 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: 6d0c94066e3b1e060aeab2665abf8b7d2a1055c061ecca19a6a10538b603b070

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abcb618aaef44d524ed013dec47143b6803757970348f5e4f6937f1a3315208a",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-07-11T19:11:03Z",
    "title_canon_sha256": "815b0ba1ac6bf303aebce2aa0cf6c3cbf73f964bb0fdc53d895185ab6d5a1f8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.10447",
    "kind": "arxiv",
    "version": 1
  }
}