Pith Number

pith:5SXCVJAH

pith:2006:5SXCVJAH4WBS6GWKG7W2HDGLTW

not attested not anchored not stored refs pending

The p-rank stratification of Artin-Schreier curves

Hui June Zhu, Rachel Pries

arxiv:math/0609657 v3 · 2006-09-22 · 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{5SXCVJAH4WBS6GWKG7W2HDGLTW}

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	2026-05-18T01:22:52.748171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecae2aa407e5832f1aca37eda38ccb9d9068b3e6b8abe26c4b12824003e73ac1

Aliases

arxiv: math/0609657 · arxiv_version: math/0609657v3 · doi: 10.48550/arxiv.math/0609657 · pith_short_12: 5SXCVJAH4WBS · pith_short_16: 5SXCVJAH4WBS6GWK · pith_short_8: 5SXCVJAH

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/5SXCVJAH4WBS6GWKG7W2HDGLTW \
  | 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: ecae2aa407e5832f1aca37eda38ccb9d9068b3e6b8abe26c4b12824003e73ac1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "488d28aac29862031f427a727fdd35fef5d6d9acc283413bc211557e10f54933",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2006-09-22T22:45:35Z",
    "title_canon_sha256": "24755db77d5891d66a565ac818677ab0c98b52b3018456925bf2c8c93222e299"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609657",
    "kind": "arxiv",
    "version": 3
  }
}