Pith Number

pith:XT74KEYG

pith:2018:XT74KEYGVDSKZNQ3XWCRNNCMPX

not attested not anchored not stored refs pending

Stable lattices in modular Galois representations and Hida deformation

Dong Yan

arxiv:1801.06961 v3 · 2018-01-22 · 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{XT74KEYGVDSKZNQ3XWCRNNCMPX}

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	2026-05-18T00:08:31.197580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcffc51306a8e4acb61bbd8516b44c7def885980a0262bdc45fde4b72f4dee4a

Aliases

arxiv: 1801.06961 · arxiv_version: 1801.06961v3 · doi: 10.48550/arxiv.1801.06961 · pith_short_12: XT74KEYGVDSK · pith_short_16: XT74KEYGVDSKZNQ3 · pith_short_8: XT74KEYG

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/XT74KEYGVDSKZNQ3XWCRNNCMPX \
  | 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: bcffc51306a8e4acb61bbd8516b44c7def885980a0262bdc45fde4b72f4dee4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5252d44b11534fdd6573e4754ba1fdb1c7eba0473872331a2cb1faaefdbfa351",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-01-22T06:05:44Z",
    "title_canon_sha256": "3a9da4d1c42722fff27ea174019868660903db6fae081f16cd7dcd21c0636f2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.06961",
    "kind": "arxiv",
    "version": 3
  }
}