Pith Number

pith:Y7R764PD

pith:2018:Y7R764PDJDZZD5YZFOC25SOLDS

not attested not anchored not stored refs pending

Tropicalized quartics and canonical embeddings for tropical curves of genus 3

Hannah Markwig, Ilya Tyomkin, Marvin Anas Hahn, Yue Ren

arxiv:1802.02440 v2 · 2018-02-07 · 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{Y7R764PDJDZZD5YZFOC25SOLDS}

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	2026-05-17T23:46:04.301671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7e3ff71e348f391f7192b85aec9cb1c83d7cef8ef2436fb920cc2ed70e666cd

Aliases

arxiv: 1802.02440 · arxiv_version: 1802.02440v2 · doi: 10.48550/arxiv.1802.02440 · pith_short_12: Y7R764PDJDZZ · pith_short_16: Y7R764PDJDZZD5YZ · pith_short_8: Y7R764PD

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/Y7R764PDJDZZD5YZFOC25SOLDS \
  | 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: c7e3ff71e348f391f7192b85aec9cb1c83d7cef8ef2436fb920cc2ed70e666cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "406f8e8cbc826c73b67b6742419e8c781aacd6e1d4cc327a2ae2bcf4e2d16490",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-02-07T14:40:27Z",
    "title_canon_sha256": "ce81f255a90674a7918e966d2e974257cf69f03c1e7c70194f7060e20faedc8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.02440",
    "kind": "arxiv",
    "version": 2
  }
}