Pith Number

pith:LYAMV2XZ

pith:2012:LYAMV2XZSDEXSMY64I54E3OF3X

not attested not anchored not stored refs pending

Congruences betwen Hilbert modular forms: constructing ordinary lifts II

David Geraghty, Thomas Barnet-Lamb, Toby Gee

arxiv:1205.4491 v1 · 2012-05-21 · 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{LYAMV2XZSDEXSMY64I54E3OF3X}

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	2026-05-18T03:55:13.096948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e00caeaf990c979331ee23bc26dc5ddd01b065cef9f147d5137683257539905

Aliases

arxiv: 1205.4491 · arxiv_version: 1205.4491v1 · doi: 10.48550/arxiv.1205.4491 · pith_short_12: LYAMV2XZSDEX · pith_short_16: LYAMV2XZSDEXSMY6 · pith_short_8: LYAMV2XZ

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/LYAMV2XZSDEXSMY64I54E3OF3X \
  | 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: 5e00caeaf990c979331ee23bc26dc5ddd01b065cef9f147d5137683257539905

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b6f17a10ba1b8e3ab30a37babdb5f292aba5e2ab15ed49e6e71b3c7e33fda05",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-05-21T05:44:33Z",
    "title_canon_sha256": "60e45e0ef45017f5bf326e2318ce9bb7e8849ad5614bf02e2dd1d4a1fe462a0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4491",
    "kind": "arxiv",
    "version": 1
  }
}