Pith Number

pith:ODMGGTCF

pith:2015:ODMGGTCFRLM3KAG7VP6E5F4AIW

not attested not anchored not stored refs pending

The number of non-zero coefficients of modular forms (mod p)

Joel Bellaiche, Kannan Soundararajan

arxiv:1508.02095 v1 · 2015-08-09 · 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{ODMGGTCFRLM3KAG7VP6E5F4AIW}

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	2026-05-18T01:35:34.215442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70d8634c458ad9b500dfabfc4e9780459e96902fc1280838091187c167ebbcc1

Aliases

arxiv: 1508.02095 · arxiv_version: 1508.02095v1 · doi: 10.48550/arxiv.1508.02095 · pith_short_12: ODMGGTCFRLM3 · pith_short_16: ODMGGTCFRLM3KAG7 · pith_short_8: ODMGGTCF

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/ODMGGTCFRLM3KAG7VP6E5F4AIW \
  | 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: 70d8634c458ad9b500dfabfc4e9780459e96902fc1280838091187c167ebbcc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55b218b2700d6b6ec7d21956cec34ad11fca699c29176f1da6cc105fc9e4ba44",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-08-09T23:26:57Z",
    "title_canon_sha256": "e519a32ea64dcd8718250096ec7d42356fd8a7c02b42b5a4bc91d129646d9928"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02095",
    "kind": "arxiv",
    "version": 1
  }
}