Pith Number

pith:X646J45G

pith:2012:X646J45GBHU2AODIPUUNVWVHQM

not attested not anchored not stored refs pending

Computation-free presentation of the fundamental group of generic $(p,q)$-torus curves

Enrique Artal Bartolo, Jorge Ortigas-Galindo, Jose I. Cogolludo-Agustin

arxiv:1201.3274 v1 · 2012-01-16 · math.AG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X646J45GBHU2AODIPUUNVWVHQM}

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	2026-05-18T00:16:57.117843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfb9e4f3a609e9a038687d28dadaa7833b849209dd6a9a19decf0c2a94dae983

Aliases

arxiv: 1201.3274 · arxiv_version: 1201.3274v1 · doi: 10.48550/arxiv.1201.3274 · pith_short_12: X646J45GBHU2 · pith_short_16: X646J45GBHU2AODI · pith_short_8: X646J45G

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/X646J45GBHU2AODIPUUNVWVHQM \
  | 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: bfb9e4f3a609e9a038687d28dadaa7833b849209dd6a9a19decf0c2a94dae983

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70fe1afcfc749dce6ac4ed773549ddee75faa035169c3d55e6712595b268f98e",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-01-16T15:02:50Z",
    "title_canon_sha256": "6b83f0bf5da8bb9fbc7403f4ac54ad6df296e0cc3df80834bd57477339a59289"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3274",
    "kind": "arxiv",
    "version": 1
  }
}