Pith Number

pith:WWCBFFHR

pith:2026:WWCBFFHRJVHWSIZVOGP7HSTWYM

not attested not anchored not stored refs pending

Galois Extensions via Finiteness of Orbits

Nikolaos Marmaridis

arxiv:2606.31900 v1 · 2026-06-30 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WWCBFFHRJVHWSIZVOGP7HSTWYM}

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	2026-07-01T01:18:18.921955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5841294f14d4f692335719ff3ca76c315bec5600b03d206c99cd5e09fb6b26f

Aliases

arxiv: 2606.31900 · arxiv_version: 2606.31900v1 · doi: 10.48550/arxiv.2606.31900 · pith_short_12: WWCBFFHRJVHW · pith_short_16: WWCBFFHRJVHWSIZV · pith_short_8: WWCBFFHR

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/WWCBFFHRJVHWSIZVOGP7HSTWYM \
  | 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: b5841294f14d4f692335719ff3ca76c315bec5600b03d206c99cd5e09fb6b26f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70f5300c4c1527295a962ae0db50ddeb619fc250944e2a0392761c2c292a97f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-30T16:07:26Z",
    "title_canon_sha256": "92ae971b9d2fd2b71e2ba0342e8ab5a95f9889121f8bfd51d49f9fdaeefbe076"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.31900",
    "kind": "arxiv",
    "version": 1
  }
}