Pith Number

pith:XRY6PQ37

pith:2010:XRY6PQ3724OXPUY2CE6P5VGUQS

not attested not anchored not stored refs pending

Normal subgroups of fundamental groups of affine curves in positive characteristic II

Amilcar Pacheco, Katherine F. Stevenson, Pavel Zalesskii

arxiv:1008.3812 v3 · 2010-08-23 · math.AG · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XRY6PQ3724OXPUY2CE6P5VGUQS}

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	2026-05-18T03:05:55.335489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc71e7c37fd71d77d31a113cfed4d4848f14c327933aaefdb1f4352af48e31cd

Aliases

arxiv: 1008.3812 · arxiv_version: 1008.3812v3 · doi: 10.48550/arxiv.1008.3812 · pith_short_12: XRY6PQ3724OX · pith_short_16: XRY6PQ3724OXPUY2 · pith_short_8: XRY6PQ37

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/XRY6PQ3724OXPUY2CE6P5VGUQS \
  | 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: bc71e7c37fd71d77d31a113cfed4d4848f14c327933aaefdb1f4352af48e31cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f1ce60092da8f5070164b1917aa490013b1eba3bc2e123da005fb4b27e4df2f",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-08-23T12:58:37Z",
    "title_canon_sha256": "ff3eb57403dc1fcbe0061bad424bd7d451489a5e30be6e96274e07a8fa26001a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3812",
    "kind": "arxiv",
    "version": 3
  }
}