Pith Number

pith:PFQEY7W7

pith:2015:PFQEY7W7OS64TCXAJEZSVJXD7A

not attested not anchored not stored refs pending

Perfectoid Shimura varieties of abelian type

Xu Shen

arxiv:1507.01824 v4 · 2015-07-07 · 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{PFQEY7W7OS64TCXAJEZSVJXD7A}

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	2026-05-18T01:04:50.533962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79604c7edf74bdc98ae049332aa6e3f8245a12d0e395bcea3474f99030f27d9a

Aliases

arxiv: 1507.01824 · arxiv_version: 1507.01824v4 · doi: 10.48550/arxiv.1507.01824 · pith_short_12: PFQEY7W7OS64 · pith_short_16: PFQEY7W7OS64TCXA · pith_short_8: PFQEY7W7

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/PFQEY7W7OS64TCXAJEZSVJXD7A \
  | 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: 79604c7edf74bdc98ae049332aa6e3f8245a12d0e395bcea3474f99030f27d9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b44ede501b85fff26b2a2c18588741fa07ad2ab096696ae07d80d916219cb544",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-07-07T14:33:15Z",
    "title_canon_sha256": "ad4de12dac7b5d3fdf0f462c265e0084ff46a637134c7a16893d294487c14dbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01824",
    "kind": "arxiv",
    "version": 4
  }
}