Pith Number

pith:DWEIYN7C

pith:2024:DWEIYN7CMJM3JFGKATLZWOTGOH

not attested not anchored not stored refs pending

The Habiro ring of a number field

Campbell Wheeler, Don Zagier, Peter Scholze, Stavros Garoufalidis

arxiv:2412.04241 v2 · 2024-12-05 · math.NT · hep-th · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DWEIYN7CMJM3JFGKATLZWOTGOH}

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.

Cited by

1 paper in Pith

Explicit classes in Habiro cohomology

Receipt and verification

First computed	2026-07-05T11:59:55.677659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d888c37e26259b494ca04d79b3a6671df7ca9f00b9e9c80bf32031895d38c26

Aliases

arxiv: 2412.04241 · arxiv_version: 2412.04241v2 · doi: 10.48550/arxiv.2412.04241 · pith_short_12: DWEIYN7CMJM3 · pith_short_16: DWEIYN7CMJM3JFGK · pith_short_8: DWEIYN7C

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/DWEIYN7CMJM3JFGKATLZWOTGOH \
  | 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: 1d888c37e26259b494ca04d79b3a6671df7ca9f00b9e9c80bf32031895d38c26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "039804155b80bf4c2923cb0d8157e4faf2117bc9654061b00b77476e2d5d868a",
    "cross_cats_sorted": [
      "hep-th",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-12-05T15:25:11Z",
    "title_canon_sha256": "61ac23f8642c2691724bb5e07969d0209efd7c35d1f2c8132def365bddd331e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.04241",
    "kind": "arxiv",
    "version": 2
  }
}