Pith Number

pith:ZIA3M4OG

pith:2012:ZIA3M4OGGDQE26Y2T5KOQSIC6M

not attested not anchored not stored refs pending

Explicit Large Image Theorems for Modular Forms

Luis V. Dieulefait, Nicolas Billerey

arxiv:1210.5428 v1 · 2012-10-19 · 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{ZIA3M4OGGDQE26Y2T5KOQSIC6M}

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	2026-05-18T00:44:30.224342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca01b671c630e04d7b1a9f54e84902f306afb416b1043b4d49e4836aa3f59102

Aliases

arxiv: 1210.5428 · arxiv_version: 1210.5428v1 · doi: 10.48550/arxiv.1210.5428 · pith_short_12: ZIA3M4OGGDQE · pith_short_16: ZIA3M4OGGDQE26Y2 · pith_short_8: ZIA3M4OG

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/ZIA3M4OGGDQE26Y2T5KOQSIC6M \
  | 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: ca01b671c630e04d7b1a9f54e84902f306afb416b1043b4d49e4836aa3f59102

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00278512dbf42ff0a32cf6ecf2205fd84fb7e6653de28ae5002b2fa2e925fa67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-10-19T14:23:10Z",
    "title_canon_sha256": "1975bc261a9cd5de2f6db71222ebe5aa431aa407f4f48c6f4360e2315c1cb1b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5428",
    "kind": "arxiv",
    "version": 1
  }
}