Pith Number

pith:AZ3H6HVR

pith:2019:AZ3H6HVRTSVEW7E7PBBAQESYTY

not attested not anchored not stored refs pending

Explicit modular forms from the divided beta family

Donald M. Larson

arxiv:1906.08906 v1 · 2019-06-21 · math.AT · 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{AZ3H6HVRTSVEW7E7PBBAQESYTY}

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	2026-05-17T23:42:47.452827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06767f1eb19caa4b7c9f78420812589e1f3d426c90abe4539ffbfb965287cbe7

Aliases

arxiv: 1906.08906 · arxiv_version: 1906.08906v1 · doi: 10.48550/arxiv.1906.08906 · pith_short_12: AZ3H6HVRTSVE · pith_short_16: AZ3H6HVRTSVEW7E7 · pith_short_8: AZ3H6HVR

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/AZ3H6HVRTSVEW7E7PBBAQESYTY \
  | 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: 06767f1eb19caa4b7c9f78420812589e1f3d426c90abe4539ffbfb965287cbe7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64432c466fe9eb840c6c1fc3a06116b29ddb46dd9a5932cb9c92babe9273fef1",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-06-21T01:15:18Z",
    "title_canon_sha256": "be09ca0c2c7679440bedd51facc1f5f3f59fd8cc605f3edb3ea841b81fadd546"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.08906",
    "kind": "arxiv",
    "version": 1
  }
}