Pith Number

pith:SQ7VTO5H

pith:2011:SQ7VTO5HAD2SV5DTAZV6AKNKSA

not attested not anchored not stored refs pending

Divisibility Properties of Coefficients of Level $p$ Modular Functions for Genus Zero Primes

Nickolas Andersen, Paul Jenkins

arxiv:1106.1188 v1 · 2011-06-06 · 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{SQ7VTO5HAD2SV5DTAZV6AKNKSA}

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	2026-05-18T03:25:59.767152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

943f59bba700f52af473066be029aa902dadd04b786e84f89f8e87cea6d336e3

Aliases

arxiv: 1106.1188 · arxiv_version: 1106.1188v1 · doi: 10.48550/arxiv.1106.1188 · pith_short_12: SQ7VTO5HAD2S · pith_short_16: SQ7VTO5HAD2SV5DT · pith_short_8: SQ7VTO5H

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/SQ7VTO5HAD2SV5DTAZV6AKNKSA \
  | 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: 943f59bba700f52af473066be029aa902dadd04b786e84f89f8e87cea6d336e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67a74589472d5539fdc72f94345570240cca4ab05b7255148c829a69a5a5ffe3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-06-06T20:13:01Z",
    "title_canon_sha256": "a305837c87700dda40498c4b2add317bbf09a971b15f2282e059b2b887d97b8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1188",
    "kind": "arxiv",
    "version": 1
  }
}