Pith Number

pith:QVOTMQYG

pith:2011:QVOTMQYGMU2RONFWWPZ62FW2VC

not attested not anchored not stored refs pending

Newton polygons and curve gonalities

Filip Cools, Wouter Castryck

arxiv:1106.3762 v2 · 2011-06-19 · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QVOTMQYGMU2RONFWWPZ62FW2VC}

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	2026-05-18T04:04:42.162798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

855d36430665351734b6b3f3ed16daa8b771894f47378514589055ee51b15e25

Aliases

arxiv: 1106.3762 · arxiv_version: 1106.3762v2 · doi: 10.48550/arxiv.1106.3762 · pith_short_12: QVOTMQYGMU2R · pith_short_16: QVOTMQYGMU2RONFW · pith_short_8: QVOTMQYG

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/QVOTMQYGMU2RONFWWPZ62FW2VC \
  | 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: 855d36430665351734b6b3f3ed16daa8b771894f47378514589055ee51b15e25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06642039a10df1b8048cf819fe228b587ae7ffb931276ea59e6075e8cf3548e5",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-06-19T16:54:46Z",
    "title_canon_sha256": "b559152fb5008db5b1e7d07413b45d5c84b73d9d3ae7775b7d4191b96a474304"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3762",
    "kind": "arxiv",
    "version": 2
  }
}