Pith Number

pith:BJ66UWI5

pith:2026:BJ66UWI5U2A37QU5P6UJKJ64UG

not attested not anchored not stored refs pending

Iterated extensions and the ramification dichotomy

Mugurel Barcau, Vicen\c{t}iu Pa\c{s}ol

arxiv:2606.29310 v1 · 2026-06-28 · 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{BJ66UWI5U2A37QU5P6UJKJ64UG}

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	2026-06-30T01:18:01.041989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a7dea591da681bfc29d7fa89527dca19a30ce74ced641f7d6087bbc52c54da2

Aliases

arxiv: 2606.29310 · arxiv_version: 2606.29310v1 · doi: 10.48550/arxiv.2606.29310 · pith_short_12: BJ66UWI5U2A3 · pith_short_16: BJ66UWI5U2A37QU5 · pith_short_8: BJ66UWI5

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/BJ66UWI5U2A37QU5P6UJKJ64UG \
  | 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: 0a7dea591da681bfc29d7fa89527dca19a30ce74ced641f7d6087bbc52c54da2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf29faba9aef079cb2430f6587ef267079acfff339c20bfd15b89d22bc7cff8e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-28T10:09:21Z",
    "title_canon_sha256": "ae6f1b37bf314a4745df1ca5cdaf674c13d2c99d84096ab8141757305417fe52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29310",
    "kind": "arxiv",
    "version": 1
  }
}