Pith Number

pith:LBNHKPF7

pith:2017:LBNHKPF7YAX7W55ANA4ZFFXIWE

not attested not anchored not stored refs pending

The asymptotic behavior of automorphism groups of function fields over finite fields

Chaoping Xing, Liming Ma

arxiv:1707.07315 v1 · 2017-07-23 · 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{LBNHKPF7YAX7W55ANA4ZFFXIWE}

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	2026-05-18T00:39:42.582769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

585a753cbfc02ffb77a068399296e8b10a0186fda3b6b2812fdf0d1b7a15fd9a

Aliases

arxiv: 1707.07315 · arxiv_version: 1707.07315v1 · doi: 10.48550/arxiv.1707.07315 · pith_short_12: LBNHKPF7YAX7 · pith_short_16: LBNHKPF7YAX7W55A · pith_short_8: LBNHKPF7

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/LBNHKPF7YAX7W55ANA4ZFFXIWE \
  | 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: 585a753cbfc02ffb77a068399296e8b10a0186fda3b6b2812fdf0d1b7a15fd9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca49fbc6cab363cbc0882acf60cde91a265d5ba71be6cd7e5f9c94d5f96d2aee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-07-23T15:25:36Z",
    "title_canon_sha256": "d3d90c59a98995ff2fb3a56dddd73c467206c6f8213bbe81b4703621cd4c5fb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.07315",
    "kind": "arxiv",
    "version": 1
  }
}