Pith Number

pith:ZCNSZSLP

pith:2016:ZCNSZSLPOJBIP3ZDQEQEJA7JOG

not attested not anchored not stored refs pending

A generalization of Ramanujan's congruence to modular forms of prime level

Alexandru A. Popa, Radu Gaba

arxiv:1612.00765 v3 · 2016-12-02 · 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{ZCNSZSLPOJBIP3ZDQEQEJA7JOG}

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	2026-05-18T00:12:49.035040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c89b2cc96f724287ef2381204483e9718e62113cb330e3569482440666d3cf18

Aliases

arxiv: 1612.00765 · arxiv_version: 1612.00765v3 · doi: 10.48550/arxiv.1612.00765 · pith_short_12: ZCNSZSLPOJBI · pith_short_16: ZCNSZSLPOJBIP3ZD · pith_short_8: ZCNSZSLP

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/ZCNSZSLPOJBIP3ZDQEQEJA7JOG \
  | 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: c89b2cc96f724287ef2381204483e9718e62113cb330e3569482440666d3cf18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20046f0c34d3d92226df623ff07d4fefdd40061ff3da388bc324702c1afba95f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-12-02T17:36:49Z",
    "title_canon_sha256": "9390b36a10afcfe1511085f219196b7b8afa295466f0021a81c058cbcdcbfa56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00765",
    "kind": "arxiv",
    "version": 3
  }
}