Pith Number

pith:N4PWCSL4

pith:2017:N4PWCSL47P7ZVRGMNMSZGWBLKS

not attested not anchored not stored refs pending

Modular curves, invariant theory and $E_8$

Lei Yang

arxiv:1704.01735 v4 · 2017-04-06 · math.NT · math.AG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N4PWCSL47P7ZVRGMNMSZGWBLKS}

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	2026-05-18T00:42:45.952408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f1f61497cfbff9ac4cc6b2593582b54a33f3950c42971e169a9c1818b1437ff

Aliases

arxiv: 1704.01735 · arxiv_version: 1704.01735v4 · doi: 10.48550/arxiv.1704.01735 · pith_short_12: N4PWCSL47P7Z · pith_short_16: N4PWCSL47P7ZVRGM · pith_short_8: N4PWCSL4

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/N4PWCSL47P7ZVRGMNMSZGWBLKS \
  | 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: 6f1f61497cfbff9ac4cc6b2593582b54a33f3950c42971e169a9c1818b1437ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18a3cc29ab6ccf12d3b42c9f0f134be2fe830c4760f2d3ae81eb60e0a0b639a1",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-04-06T07:52:05Z",
    "title_canon_sha256": "4c6feb59da3fc2c61a2433de37a1affd59b29f87aa15f0760b7ba247d49bb4b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.01735",
    "kind": "arxiv",
    "version": 4
  }
}