Pith Number

pith:7ILRJMAE

pith:2018:7ILRJMAEAUNZUEP6FZWNIYJ3JG

not attested not anchored not stored refs pending

Refined ramification breaks in characteristic $p$

G. Griffith Elder, Kevin Keating

arxiv:1812.11660 v1 · 2018-12-31 · 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{7ILRJMAEAUNZUEP6FZWNIYJ3JG}

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	2026-05-17T23:57:11.431477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa1714b004051b9a11fe2e6cd4613b49adcee916eb177cc55090e98de7f244ee

Aliases

arxiv: 1812.11660 · arxiv_version: 1812.11660v1 · doi: 10.48550/arxiv.1812.11660 · pith_short_12: 7ILRJMAEAUNZ · pith_short_16: 7ILRJMAEAUNZUEP6 · pith_short_8: 7ILRJMAE

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/7ILRJMAEAUNZUEP6FZWNIYJ3JG \
  | 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: fa1714b004051b9a11fe2e6cd4613b49adcee916eb177cc55090e98de7f244ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58cb3e9df58e42484a5a560030c156258d2532c479fb4c0589a8b396c5e5e103",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-12-31T01:26:55Z",
    "title_canon_sha256": "f8298554c7a64d8ac5477ddd795487fb4a633f687fd2b893d01b960d9829ec7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.11660",
    "kind": "arxiv",
    "version": 1
  }
}