Pith Number

pith:ZOYEFCEC

pith:2019:ZOYEFCECPIVKWXMQQPNWFJQI4P

not attested not anchored not stored refs pending

Breuil-Kisin modules and integral $p$-adic Hodge theory

Hui Gao

arxiv:1905.08555 v6 · 2019-05-21 · 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{ZOYEFCECPIVKWXMQQPNWFJQI4P}

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.

Cited by

1 paper in Pith

Moduli stacks of \'etale (phi,Gamma)-modules and the existence of crystalline lifts

Receipt and verification

First computed	2026-07-05T10:45:48.062588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbb04288827a2aab5d9083db62a608e3cad12437ac93c55812bf0a5f8cb2e79b

Aliases

arxiv: 1905.08555 · arxiv_version: 1905.08555v6 · doi: 10.48550/arxiv.1905.08555 · pith_short_12: ZOYEFCECPIVK · pith_short_16: ZOYEFCECPIVKWXMQ · pith_short_8: ZOYEFCEC

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/ZOYEFCECPIVKWXMQQPNWFJQI4P \
  | 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: cbb04288827a2aab5d9083db62a608e3cad12437ac93c55812bf0a5f8cb2e79b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cbef080fc781acc20021f19fb4ff11f5fc13e32b900d6130624cca582931c37",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-05-21T11:21:26Z",
    "title_canon_sha256": "7f6311b2d4113269653fe6a3bb1165c9ca5568a7ab890f224e7a8ac74c7ccbe6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.08555",
    "kind": "arxiv",
    "version": 6
  }
}