Pith Number

pith:XQAH3VCY

pith:2018:XQAH3VCYMCGJRTQM2GJHARD3TA

not attested not anchored not stored refs pending

Ramification groups of coverings and valuations

Takeshi Saito

arxiv:1801.02766 v1 · 2018-01-09 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XQAH3VCYMCGJRTQM2GJHARD3TA}

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	2026-05-18T00:05:57.337438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc007dd458608c98ce0cd19270447b981b5dc92fb688e5514d592dab7d4badfe

Aliases

arxiv: 1801.02766 · arxiv_version: 1801.02766v1 · doi: 10.48550/arxiv.1801.02766 · pith_short_12: XQAH3VCYMCGJ · pith_short_16: XQAH3VCYMCGJRTQM · pith_short_8: XQAH3VCY

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/XQAH3VCYMCGJRTQM2GJHARD3TA \
  | 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: bc007dd458608c98ce0cd19270447b981b5dc92fb688e5514d592dab7d4badfe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17b56b648f80f77af07393f96175218b5394adde291280df36f0d2bcf3a30c8a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-01-09T02:42:15Z",
    "title_canon_sha256": "37fc53f38e830f76f2f2b0159cce761365218e1ba638dfdd61a3d0ede30f1630"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.02766",
    "kind": "arxiv",
    "version": 1
  }
}