Pith Number

pith:AL7SHQR3

pith:2018:AL7SHQR33D7SLB2WGR5VRRZH64

not attested not anchored not stored refs pending

On Abhyankar's lemma about ramification indices

Emmanuel Halberstadt, Jean-Luc Chabert

arxiv:1805.08869 v1 · 2018-05-22 · 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{AL7SHQR33D7SLB2WGR5VRRZH64}

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	2026-05-18T00:15:09.238865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02ff23c23bd8ff258756347b58c727f73bc96b2ce7c2f9bf37f52facd9109872

Aliases

arxiv: 1805.08869 · arxiv_version: 1805.08869v1 · doi: 10.48550/arxiv.1805.08869 · pith_short_12: AL7SHQR33D7S · pith_short_16: AL7SHQR33D7SLB2W · pith_short_8: AL7SHQR3

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/AL7SHQR33D7SLB2WGR5VRRZH64 \
  | 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: 02ff23c23bd8ff258756347b58c727f73bc96b2ce7c2f9bf37f52facd9109872

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00376cc480c894e982f2dbe663b61b0cfbf333f63c2d177877d1ba3ddc759b74",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-05-22T21:17:10Z",
    "title_canon_sha256": "85041bee5bee70448efbee4f08346c3d34f3d33b92bb65f2de6e77fdf41a3145"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.08869",
    "kind": "arxiv",
    "version": 1
  }
}