Pith Number

pith:32MOGIDK

pith:2012:32MOGIDKDYEPNWKXTXV62D27E4

not attested not anchored not stored refs pending

Upper bounds for the dimension of moduli spaces of curves with symmetric Weierstrass semigroups

Andr\'e Contiero, Karl-Otto St\"ohr

arxiv:1211.2011 v1 · 2012-11-08 · 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{32MOGIDKDYEPNWKXTXV62D27E4}

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	2026-05-18T02:51:08.716278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de98e3206a1e08f6d9579debed0f5f272b7080979400fba3f54fc7b7f6981e06

Aliases

arxiv: 1211.2011 · arxiv_version: 1211.2011v1 · doi: 10.48550/arxiv.1211.2011 · pith_short_12: 32MOGIDKDYEP · pith_short_16: 32MOGIDKDYEPNWKX · pith_short_8: 32MOGIDK

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/32MOGIDKDYEPNWKXTXV62D27E4 \
  | 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: de98e3206a1e08f6d9579debed0f5f272b7080979400fba3f54fc7b7f6981e06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4290b77f651b04a0915a7e2bf62fdf5c4c3b480515498ee10673a60152e312c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-11-08T22:59:43Z",
    "title_canon_sha256": "61bea06a2814a5e7749b7a55a7d14806ade61c08e25b3f193ff48eb316d52f04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2011",
    "kind": "arxiv",
    "version": 1
  }
}