Pith Number

pith:G6L4XSEZ

pith:2015:G6L4XSEZYP5QVXF2LRJ4B255NF

not attested not anchored not stored refs pending

Counting Extensions of $\mathfrak{p}$-Adic Fields with Given Invariants

Brian Sinclair

arxiv:1512.06946 v1 · 2015-12-22 · 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{G6L4XSEZYP5QVXF2LRJ4B255NF}

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	2026-05-18T01:23:53.368689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3797cbc899c3fb0adcba5c53c0ebbd6941885b590c98ceea7b784b03ebe16d51

Aliases

arxiv: 1512.06946 · arxiv_version: 1512.06946v1 · doi: 10.48550/arxiv.1512.06946 · pith_short_12: G6L4XSEZYP5Q · pith_short_16: G6L4XSEZYP5QVXF2 · pith_short_8: G6L4XSEZ

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/G6L4XSEZYP5QVXF2LRJ4B255NF \
  | 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: 3797cbc899c3fb0adcba5c53c0ebbd6941885b590c98ceea7b784b03ebe16d51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "664879f715215748b21f77fb66ada9a392567383c5d7073febe20d7af2fa5eef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-12-22T03:26:09Z",
    "title_canon_sha256": "d57c9cdbdc1432413c18167aae52a14132f436e96b1add3a393d6058a1e0ca2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06946",
    "kind": "arxiv",
    "version": 1
  }
}