Pith Number

pith:LZVT54C2

pith:2015:LZVT54C23EODBGTCF7C67GP46O

not attested not anchored not stored refs pending

Functional equation for the Selmer group of nearly ordinary Hida deformation of Hilbert modular forms

Dipramit Majumdar, Somnath Jha

arxiv:1504.02959 v2 · 2015-04-12 · 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{LZVT54C23EODBGTCF7C67GP46O}

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	2026-05-18T02:17:51.057214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e6b3ef05ad91c309a622fc5ef99fcf3aa8dda57efe52cf116c35aa5431d748f

Aliases

arxiv: 1504.02959 · arxiv_version: 1504.02959v2 · doi: 10.48550/arxiv.1504.02959 · pith_short_12: LZVT54C23EOD · pith_short_16: LZVT54C23EODBGTC · pith_short_8: LZVT54C2

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/LZVT54C23EODBGTCF7C67GP46O \
  | 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: 5e6b3ef05ad91c309a622fc5ef99fcf3aa8dda57efe52cf116c35aa5431d748f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c187894dff54c15390254c374ab9399c25354aefe737c7b40cb95ee5e77e2ee0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-04-12T11:28:44Z",
    "title_canon_sha256": "1607c2ff0e0fb6203aa1d3ff000b030b660ddd38025521814b6d7bbd1fc2cb6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02959",
    "kind": "arxiv",
    "version": 2
  }
}