Pith Number

pith:2K2V4T62

pith:2017:2K2V4T62YJ5Y3VL5F3JDRFBUZH

not attested not anchored not stored refs pending

Solutions of KZ differential equations modulo $p$

Alexander Varchenko, Vadim Schechtman

arxiv:1707.02615 v3 · 2017-07-09 · math.AG · math-ph · math.MP · math.NT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2K2V4T62YJ5Y3VL5F3JDRFBUZH}

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	2026-05-18T00:26:54.870258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2b55e4fdac27b8dd57d2ed2389434c9c37a27bf7b4210454668df797b5c78b4

Aliases

arxiv: 1707.02615 · arxiv_version: 1707.02615v3 · doi: 10.48550/arxiv.1707.02615 · pith_short_12: 2K2V4T62YJ5Y · pith_short_16: 2K2V4T62YJ5Y3VL5 · pith_short_8: 2K2V4T62

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/2K2V4T62YJ5Y3VL5F3JDRFBUZH \
  | 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: d2b55e4fdac27b8dd57d2ed2389434c9c37a27bf7b4210454668df797b5c78b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b056fcc583815622e47baeadb7751705ae64da181b78d9ed8d4f4cbb414cce91",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.NT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-07-09T18:32:06Z",
    "title_canon_sha256": "1efe0e55ad6f297892ec41ac6da930e0b2654a2eab59778ea1982c76bd404b87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.02615",
    "kind": "arxiv",
    "version": 3
  }
}