Pith Number

pith:JMNLSEHZ

pith:2026:JMNLSEHZ4WO5MLDUTLVMTDTYRH

not attested not anchored not stored refs pending

New perspectives on $p$-adic regulator formulae

Ananyo Kazi, Luca Marannino, Ting-Han Huang

arxiv:2601.05406 v2 · 2026-01-08 · 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{JMNLSEHZ4WO5MLDUTLVMTDTYRH}

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	2026-06-19T16:10:34.199621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b1ab910f9e59dd62c749aeac98e7889e4321cc9461a52fae28519980556b918

Aliases

arxiv: 2601.05406 · arxiv_version: 2601.05406v2 · doi: 10.48550/arxiv.2601.05406 · pith_short_12: JMNLSEHZ4WO5 · pith_short_16: JMNLSEHZ4WO5MLDU · pith_short_8: JMNLSEHZ

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/JMNLSEHZ4WO5MLDUTLVMTDTYRH \
  | 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: 4b1ab910f9e59dd62c749aeac98e7889e4321cc9461a52fae28519980556b918

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "006fc95a19dd74965bd3cb8dba2ada79aa49c9b9cbb8c75fcc2ac1ade1dbf020",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-01-08T22:11:50Z",
    "title_canon_sha256": "993e737fbc0fad55c79e2e46544dd8ba3f5735a7dab8016552f9390f47156e83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.05406",
    "kind": "arxiv",
    "version": 2
  }
}