Pith Number

pith:7TE36AHA

pith:2015:7TE36AHAIN4EDCGWWMSCMXVIBB

not attested not anchored not stored refs pending

Vector valued modular forms and the modular orbifold of elliptic curves

Cameron Franc, Luca Candelori

arxiv:1506.09192 v2 · 2015-06-30 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7TE36AHAIN4EDCGWWMSCMXVIBB}

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	2026-05-18T01:23:12.123109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcc9bf00e043784188d6b324265ea80853e7879b6ab4345e2f49f997f3cc34ba

Aliases

arxiv: 1506.09192 · arxiv_version: 1506.09192v2 · doi: 10.48550/arxiv.1506.09192 · pith_short_12: 7TE36AHAIN4E · pith_short_16: 7TE36AHAIN4EDCGW · pith_short_8: 7TE36AHA

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/7TE36AHAIN4EDCGWWMSCMXVIBB \
  | 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: fcc9bf00e043784188d6b324265ea80853e7879b6ab4345e2f49f997f3cc34ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dabd0b86767cdfb126115cfff20825f3b168680df2f7d11f6ebcd9f068988db1",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-06-30T18:22:51Z",
    "title_canon_sha256": "829d11bc1ac34d01cf4812eb7ac3b0a4f38974489d45b75cf0c11435afadd781"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.09192",
    "kind": "arxiv",
    "version": 2
  }
}