Pith Number

pith:VH3RBNYE

pith:2018:VH3RBNYEF4TF6S42K3IZ3SSCGB

not attested not anchored not stored refs pending

Tropical geometry of genus two curves

Hannah Markwig, Maria Angelica Cueto

arxiv:1801.00378 v2 · 2018-01-01 · 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{VH3RBNYEF4TF6S42K3IZ3SSCGB}

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	2026-05-18T00:02:28.055935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9f710b7042f265f4b9a56d19dca423049819c4126bc5c8bcb3a3d69c00ba09e

Aliases

arxiv: 1801.00378 · arxiv_version: 1801.00378v2 · doi: 10.48550/arxiv.1801.00378 · pith_short_12: VH3RBNYEF4TF · pith_short_16: VH3RBNYEF4TF6S42 · pith_short_8: VH3RBNYE

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/VH3RBNYEF4TF6S42K3IZ3SSCGB \
  | 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: a9f710b7042f265f4b9a56d19dca423049819c4126bc5c8bcb3a3d69c00ba09e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63413a3824a6c58b3cb75f49bf82b8f742c3fe8cce41b03799947576cb4cb0a5",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-01-01T01:23:23Z",
    "title_canon_sha256": "eb90f7477596fa2eb3708d590294e7c9ddb63fa45580e23cbe5e514ca84cf9a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.00378",
    "kind": "arxiv",
    "version": 2
  }
}