Pith Number

pith:6TQHNXKW

pith:2012:6TQHNXKWRX5FQ7DZHARR36MA4I

not attested not anchored not stored refs pending

CRM lectures on curves and Jacobians over function fields

Douglas Ulmer

arxiv:1203.5573 v2 · 2012-03-26 · 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{6TQHNXKWRX5FQ7DZHARR36MA4I}

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	2026-05-18T03:42:11.613333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4e076dd568dfa587c7938231df980e20fc06e1ec91b5b600ec0249c9f71af45

Aliases

arxiv: 1203.5573 · arxiv_version: 1203.5573v2 · doi: 10.48550/arxiv.1203.5573 · pith_short_12: 6TQHNXKWRX5F · pith_short_16: 6TQHNXKWRX5FQ7DZ · pith_short_8: 6TQHNXKW

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/6TQHNXKWRX5FQ7DZHARR36MA4I \
  | 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: f4e076dd568dfa587c7938231df980e20fc06e1ec91b5b600ec0249c9f71af45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d158cc4a81200f475dd31df9843a7e765936d9382cf1cb556c5ef4cb40a0bcc",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-03-26T04:22:46Z",
    "title_canon_sha256": "bd61d95f4cf94afd9ac512b2b920ca4837c9806481261290040b6767261e647c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5573",
    "kind": "arxiv",
    "version": 2
  }
}