Pith Number

pith:DMYCQPVG

pith:2016:DMYCQPVGX4PYQEQED5TGW6ZDCK

not attested not anchored not stored refs pending

Zariski density of monodromy groups via Picard-Lefschetz type formula

Jinxing Xu

arxiv:1609.04165 v1 · 2016-09-14 · math.AG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DMYCQPVGX4PYQEQED5TGW6ZDCK}

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	2026-05-17T23:52:24.777393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b30283ea6bf1f8812041f666b7b2312b4f5039b4ba577b33c78f38549af6186

Aliases

arxiv: 1609.04165 · arxiv_version: 1609.04165v1 · doi: 10.48550/arxiv.1609.04165 · pith_short_12: DMYCQPVGX4PY · pith_short_16: DMYCQPVGX4PYQEQE · pith_short_8: DMYCQPVG

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/DMYCQPVGX4PYQEQED5TGW6ZDCK \
  | 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: 1b30283ea6bf1f8812041f666b7b2312b4f5039b4ba577b33c78f38549af6186

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "542a013b7f0976c7295c3a409635f2936ff85044cef2a79808ddd028d49705b6",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-09-14T08:22:44Z",
    "title_canon_sha256": "3349e4944e392f03ce2fc17f81c445f6fdaacd5a6d8c3eb0dbe8c61cf3ce304e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04165",
    "kind": "arxiv",
    "version": 1
  }
}