Pith Number

pith:IYJDD67G

pith:2013:IYJDD67G5VOKYVS4GKTRINRZPH

not attested not anchored not stored refs pending

Geometry of the eigencurve at critical Eisenstein series of weight 2

Dipramit Majumdar

arxiv:1307.4846 v2 · 2013-07-18 · 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{IYJDD67G5VOKYVS4GKTRINRZPH}

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	2026-05-18T02:39:48.728992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

461231fbe6ed5cac565c32a714363979d6f2bf20ab3903f092bf164bdbda3eba

Aliases

arxiv: 1307.4846 · arxiv_version: 1307.4846v2 · doi: 10.48550/arxiv.1307.4846 · pith_short_12: IYJDD67G5VOK · pith_short_16: IYJDD67G5VOKYVS4 · pith_short_8: IYJDD67G

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/IYJDD67G5VOKYVS4GKTRINRZPH \
  | 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: 461231fbe6ed5cac565c32a714363979d6f2bf20ab3903f092bf164bdbda3eba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "379cc7f182f5c8a778479a259fbb850a6612508a8ed69d385e1f71b0e7468798",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-07-18T07:13:08Z",
    "title_canon_sha256": "d1dc336c7efb7d79d18f6268fb09793d9e308a1f0e01c0209151f7a1e29937fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4846",
    "kind": "arxiv",
    "version": 2
  }
}