Pith Number

pith:BUSAZAWY

pith:2025:BUSAZAWY2IO5HWSHCQZJIBIRYH

not attested not anchored not stored refs pending

Towards the $p$-adic derived Hecke algebra for weight one forms

Robin Zhang

arxiv:2506.09139 v1 · 2025-06-10 · 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{BUSAZAWY2IO5HWSHCQZJIBIRYH}

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	2026-07-05T11:19:31.964150Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d240c82d8d21dd3da471432940511c1ed6470e12ed0d2c14878416dd8ad921e

Aliases

arxiv: 2506.09139 · arxiv_version: 2506.09139v1 · doi: 10.48550/arxiv.2506.09139 · pith_short_12: BUSAZAWY2IO5 · pith_short_16: BUSAZAWY2IO5HWSH · pith_short_8: BUSAZAWY

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/BUSAZAWY2IO5HWSHCQZJIBIRYH \
  | 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: 0d240c82d8d21dd3da471432940511c1ed6470e12ed0d2c14878416dd8ad921e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "719e8142443bc011de0f9bd06697c3ea1db0297a270775b94c033f08a1b5054d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-06-10T18:00:23Z",
    "title_canon_sha256": "cbe2b40d4d2f2751ff07f465deb4755e15b40fb58cd951588bc5778050d05e73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.09139",
    "kind": "arxiv",
    "version": 1
  }
}