Pith Number

pith:QZSNVY4D

pith:2017:QZSNVY4DYHHOU545KCXPSKBYRD

not attested not anchored not stored refs pending

Polar Transform and Local Positivity for Curves

Jian Xiao, Nicholas McCleerey

arxiv:1707.06349 v1 · 2017-07-20 · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QZSNVY4DYHHOU545KCXPSKBYRD}

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	2026-05-18T00:39:54.071635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8664dae383c1ceea779d50aef9283888d414a2d9225b73f0fd888575df25077b

Aliases

arxiv: 1707.06349 · arxiv_version: 1707.06349v1 · doi: 10.48550/arxiv.1707.06349 · pith_short_12: QZSNVY4DYHHO · pith_short_16: QZSNVY4DYHHOU545 · pith_short_8: QZSNVY4D

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/QZSNVY4DYHHOU545KCXPSKBYRD \
  | 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: 8664dae383c1ceea779d50aef9283888d414a2d9225b73f0fd888575df25077b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54c928f5ade066cf90f5be78f84985c5b8db73eb5bf14e4d647c1f55e386bdd3",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-07-20T02:39:47Z",
    "title_canon_sha256": "3a0c6a334dcf2eadd64c050eaef532e25e9ab5aa4c3be0d02574b6d35c613370"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.06349",
    "kind": "arxiv",
    "version": 1
  }
}