Pith Number

pith:GXNI3K6M

pith:2006:GXNI3K6M5GRPWAAN6QAPXBFVZV

not attested not anchored not stored refs pending

Gonality of modular curves in characteristic p

Bjorn Poonen

arxiv:math/0601141 v2 · 2006-01-07 · math.AG · 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{GXNI3K6M5GRPWAAN6QAPXBFVZV}

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	2026-05-18T00:47:31.992463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35da8dabcce9a2fb000df400fb84b5cd634dcace861e006eceb712ba164d931e

Aliases

arxiv: math/0601141 · arxiv_version: math/0601141v2 · doi: 10.48550/arxiv.math/0601141 · pith_short_12: GXNI3K6M5GRP · pith_short_16: GXNI3K6M5GRPWAAN · pith_short_8: GXNI3K6M

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/GXNI3K6M5GRPWAAN6QAPXBFVZV \
  | 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: 35da8dabcce9a2fb000df400fb84b5cd634dcace861e006eceb712ba164d931e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a164fa37d9d9c87f490549dc04e571f4751f25f011583d508805c2cdb4a0b994",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2006-01-07T18:51:44Z",
    "title_canon_sha256": "3b33c58dd809e1868f24a23f7f39ff810d16599ab6c4bea6d425b546aff53904"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0601141",
    "kind": "arxiv",
    "version": 2
  }
}