Pith Number

pith:ZUR3UQ7N

pith:2017:ZUR3UQ7NLLV5QGZLH5L36CDQ4K

not attested not anchored not stored refs pending

On the structure of some p-adic period domains

Laurent Fargues, Miaofen Chen, Xu Shen

arxiv:1710.06935 v1 · 2017-10-18 · math.AG · 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{ZUR3UQ7NLLV5QGZLH5L36CDQ4K}

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	2026-05-18T00:32:27.611478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd23ba43ed5aebd81b2b3f57bf0870e2872ce7e5d37759a65ba31a1e36fc9164

Aliases

arxiv: 1710.06935 · arxiv_version: 1710.06935v1 · doi: 10.48550/arxiv.1710.06935 · pith_short_12: ZUR3UQ7NLLV5 · pith_short_16: ZUR3UQ7NLLV5QGZL · pith_short_8: ZUR3UQ7N

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/ZUR3UQ7NLLV5QGZLH5L36CDQ4K \
  | 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: cd23ba43ed5aebd81b2b3f57bf0870e2872ce7e5d37759a65ba31a1e36fc9164

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18c648144df5ade621a76585a38cf52975d39d0b09a877430ae84aa743bfeb51",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-10-18T21:02:52Z",
    "title_canon_sha256": "cdd467fac5181839c132718530d10dd9b8cbb095c41e2b8471ae79b0fd584c64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.06935",
    "kind": "arxiv",
    "version": 1
  }
}