Pith Number

pith:KOTARWMN

pith:2012:KOTARWMN7TTPVQJ5L4NARVNVYX

not attested not anchored not stored refs pending

Vanishing of special values and central derivatives in Hida families

Matteo Longo, Stefano Vigni

arxiv:1201.5059 v1 · 2012-01-24 · math.NT · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KOTARWMN7TTPVQJ5L4NARVNVYX}

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	2026-05-18T04:03:56.398347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53a608d98dfce6fac13d5f1a08d5b5c5d09247c6d86d38dc843270d49849ef2d

Aliases

arxiv: 1201.5059 · arxiv_version: 1201.5059v1 · doi: 10.48550/arxiv.1201.5059 · pith_short_12: KOTARWMN7TTP · pith_short_16: KOTARWMN7TTPVQJ5 · pith_short_8: KOTARWMN

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/KOTARWMN7TTPVQJ5L4NARVNVYX \
  | 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: 53a608d98dfce6fac13d5f1a08d5b5c5d09247c6d86d38dc843270d49849ef2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6be038a63b1c78fb8513a1c0aa0ac8369d57099935e2af6c03e30f5f223a6b0c",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-01-24T17:31:43Z",
    "title_canon_sha256": "864b4a8461b74526946f904a268b556d7032491236d7af50ab3381d1459479c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5059",
    "kind": "arxiv",
    "version": 1
  }
}