Pith Number

pith:3AKPOSWT

pith:2017:3AKPOSWTFYIO4AO3U5PR4DDMJG

not attested not anchored not stored refs pending

Modularity of generating series of winding numbers

Jan H. Bruinier, Jens Funke, \"Ozlem Imamo\=glu, Yingkun Li

arxiv:1711.08907 v1 · 2017-11-24 · 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{3AKPOSWTFYIO4AO3U5PR4DDMJG}

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	2026-05-18T00:29:41.777099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d814f74ad32e10ee01dba75f1e0c6c498d3e141479cdc3dad6ef54d8066f5a3c

Aliases

arxiv: 1711.08907 · arxiv_version: 1711.08907v1 · doi: 10.48550/arxiv.1711.08907 · pith_short_12: 3AKPOSWTFYIO · pith_short_16: 3AKPOSWTFYIO4AO3 · pith_short_8: 3AKPOSWT

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/3AKPOSWTFYIO4AO3U5PR4DDMJG \
  | 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: d814f74ad32e10ee01dba75f1e0c6c498d3e141479cdc3dad6ef54d8066f5a3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc3227667a61bc312d9d867fdc978b62f96ba50179040f6c157cffefded44bb7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-11-24T10:01:57Z",
    "title_canon_sha256": "19575666c5e79d563175602b7f29ac15ab688c68b53b88fdd925185858667319"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.08907",
    "kind": "arxiv",
    "version": 1
  }
}