Pith Number

pith:SQROJXKJ

pith:2012:SQROJXKJ6JWCTVLSLUJTJ6L5LY

not attested not anchored not stored refs pending

The circle method and non lacunarity of Modular Functions

Joseph Oesterl\'e, Sanoli Gun

arxiv:1210.5608 v1 · 2012-10-20 · 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{SQROJXKJ6JWCTVLSLUJTJ6L5LY}

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	2026-05-18T03:42:43.554300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9422e4dd49f26c29d5725d1334f97d5e055b0d0138a465f4b0e37ad221565924

Aliases

arxiv: 1210.5608 · arxiv_version: 1210.5608v1 · doi: 10.48550/arxiv.1210.5608 · pith_short_12: SQROJXKJ6JWC · pith_short_16: SQROJXKJ6JWCTVLS · pith_short_8: SQROJXKJ

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/SQROJXKJ6JWCTVLSLUJTJ6L5LY \
  | 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: 9422e4dd49f26c29d5725d1334f97d5e055b0d0138a465f4b0e37ad221565924

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9246206687c3eafdcc1218013b2e04c95725ede774a093622935e569270aa624",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-10-20T11:51:29Z",
    "title_canon_sha256": "d674fb5f005c365e9dbf200596a66519dea61e54420a2a34640ad317f2ab98b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5608",
    "kind": "arxiv",
    "version": 1
  }
}