Pith Number

pith:XBGDAGXV

pith:2008:XBGDAGXVV6GZVMDMW4HCDKFMCD

not attested not anchored not stored refs pending

Smallness of fundamental groups for arithmetic schemes

Shinya Harada, Toshiro Hiranouchi

arxiv:0803.2096 v3 · 2008-03-14 · 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{XBGDAGXVV6GZVMDMW4HCDKFMCD}

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	2026-05-18T03:00:37.684366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b84c301af5af8d9ab06cb70e21a8ac10c8ffa5ae3b50e47136f1f6dfc16a6985

Aliases

arxiv: 0803.2096 · arxiv_version: 0803.2096v3 · doi: 10.48550/arxiv.0803.2096 · pith_short_12: XBGDAGXVV6GZ · pith_short_16: XBGDAGXVV6GZVMDM · pith_short_8: XBGDAGXV

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/XBGDAGXVV6GZVMDMW4HCDKFMCD \
  | 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: b84c301af5af8d9ab06cb70e21a8ac10c8ffa5ae3b50e47136f1f6dfc16a6985

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a3b67a2de581c64c7f9b695558ff8a36a555e347cbd0355f9e67c1f525cc2c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-03-14T07:31:54Z",
    "title_canon_sha256": "a2a83b41211d89654c7a9157a3fcb3c0a5f01f437c016ce95bbf12809b1fc60c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.2096",
    "kind": "arxiv",
    "version": 3
  }
}