Pith Number

pith:47NFY3OC

pith:2007:47NFY3OCA36CWKUZIU5HOWH5HP

not attested not anchored not stored refs pending

Normal subgroups of the algebraic fundamental group of affine curves in positive characteristic

Amilcar Pacheco, Katherine F. Stevenson, Pavel Zalesski

arxiv:0710.5279 v3 · 2007-10-28 · 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{47NFY3OCA36CWKUZIU5HOWH5HP}

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	2026-05-18T03:05:55.544208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7da5c6dc206fc2b2a99453a7758fd3beeb97f3addd786fe1e9cee9cd536672b

Aliases

arxiv: 0710.5279 · arxiv_version: 0710.5279v3 · doi: 10.48550/arxiv.0710.5279 · pith_short_12: 47NFY3OCA36C · pith_short_16: 47NFY3OCA36CWKUZ · pith_short_8: 47NFY3OC

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/47NFY3OCA36CWKUZIU5HOWH5HP \
  | 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: e7da5c6dc206fc2b2a99453a7758fd3beeb97f3addd786fe1e9cee9cd536672b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffee1b25147b15d16fb784d6c5b396271ac946018f25058035c925591dc6b522",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2007-10-28T12:42:36Z",
    "title_canon_sha256": "63209a2a18b4eb5ef82bff8b42da0b613f9c9a19537afebcb4742fd2ed19b4b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.5279",
    "kind": "arxiv",
    "version": 3
  }
}