Pith Number

pith:SGABQGYZ

pith:2011:SGABQGYZZV6ROS7TRCNWJQFBOF

not attested not anchored not stored refs pending

On the Invariants of Towers of Function Fields over Finite Fields

Florian Hess, Henning Stichtenoth, Seher Tutdere

arxiv:1111.5600 v1 · 2011-11-23 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SGABQGYZZV6ROS7TRCNWJQFBOF}

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	2026-05-18T03:36:25.304477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9180181b19cd7d174bf3889b64c0a17166db4f6e8611d09ca4e8aa29eefc25b6

Aliases

arxiv: 1111.5600 · arxiv_version: 1111.5600v1 · doi: 10.48550/arxiv.1111.5600 · pith_short_12: SGABQGYZZV6R · pith_short_16: SGABQGYZZV6ROS7T · pith_short_8: SGABQGYZ

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/SGABQGYZZV6ROS7TRCNWJQFBOF \
  | 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: 9180181b19cd7d174bf3889b64c0a17166db4f6e8611d09ca4e8aa29eefc25b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a24b7193757261a834f76f954d29650a9b49268ec9932cfcf296dd5568b6cce3",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-11-23T19:54:58Z",
    "title_canon_sha256": "c09363f80a5b8f0add13b181d93804beacbc3d3a3f41deb19cd608085c5bc4fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5600",
    "kind": "arxiv",
    "version": 1
  }
}