Pith Number

pith:Y6KZ52Y4

pith:2013:Y6KZ52Y4NYX67XHW3KGIWCH666

not attested not anchored not stored refs pending

Arithmetic differential equations on $GL_n$, I: differential cocycles

Alexandru Buium, Taylor Dupuy

arxiv:1308.0748 v1 · 2013-08-03 · 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{Y6KZ52Y4NYX67XHW3KGIWCH666}

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	2026-05-18T03:16:48.313937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7959eeb1c6e2fefdcf6da8c8b08fef79c3057fe63cc01e83ca7ffdf1f1d8923

Aliases

arxiv: 1308.0748 · arxiv_version: 1308.0748v1 · doi: 10.48550/arxiv.1308.0748 · pith_short_12: Y6KZ52Y4NYX6 · pith_short_16: Y6KZ52Y4NYX67XHW · pith_short_8: Y6KZ52Y4

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/Y6KZ52Y4NYX67XHW3KGIWCH666 \
  | 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: c7959eeb1c6e2fefdcf6da8c8b08fef79c3057fe63cc01e83ca7ffdf1f1d8923

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccba2e1a8b6c412bf6b22356accf3fa69200e2524528fcdef87d5b650e8f487d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-08-03T21:49:08Z",
    "title_canon_sha256": "4d923e57d7c833d352c271de04f7b055de003e3a900ef88cd4e04d21e4df15be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0748",
    "kind": "arxiv",
    "version": 1
  }
}