Pith Number

pith:SRG4KSEC

pith:2013:SRG4KSECAWYGWMDH4WBKAK4GMG

not attested not anchored not stored refs pending

On the theta operator for modular forms modulo prime powers

Ian Kiming, Imin Chen

arxiv:1301.3087 v4 · 2013-01-14 · 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{SRG4KSECAWYGWMDH4WBKAK4GMG}

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	2026-05-18T01:21:56.161604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

944dc5488205b06b3067e582a02b8661837e62b07a72b25757606c4561a620f8

Aliases

arxiv: 1301.3087 · arxiv_version: 1301.3087v4 · doi: 10.48550/arxiv.1301.3087 · pith_short_12: SRG4KSECAWYG · pith_short_16: SRG4KSECAWYGWMDH · pith_short_8: SRG4KSEC

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/SRG4KSECAWYGWMDH4WBKAK4GMG \
  | 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: 944dc5488205b06b3067e582a02b8661837e62b07a72b25757606c4561a620f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02b0fd2c49dac9ce8e9ab389e580fadd3d4c19e0d12cb6d8595a892453ccb3c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-01-14T18:30:52Z",
    "title_canon_sha256": "0a1e3aefe9510c5162a09e4f32bb4899999269d757a36dab02ca34dc1f4f70a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.3087",
    "kind": "arxiv",
    "version": 4
  }
}