Pith Number

pith:7Q3KKZVS

pith:2019:7Q3KKZVSWG4OQQW336GEI5XQUJ

not attested not anchored not stored refs pending

Computing zero-dimensional tropical varieties via projections

Leon Zhang, Paul G\"orlach, Yue Ren

arxiv:1908.03486 v1 · 2019-08-09 · math.AG · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7Q3KKZVSWG4OQQW336GEI5XQUJ}

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.

Cited by

1 paper in Pith

An Octanomial Model for Cubic Surfaces

Receipt and verification

First computed	2026-07-04T23:52:40.324748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc36a566b2b1b8e842dbdf8c4476f0a2733616a0df8a0d916233fba16133ff51

Aliases

arxiv: 1908.03486 · arxiv_version: 1908.03486v1 · doi: 10.48550/arxiv.1908.03486 · pith_short_12: 7Q3KKZVSWG4O · pith_short_16: 7Q3KKZVSWG4OQQW3 · pith_short_8: 7Q3KKZVS

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/7Q3KKZVSWG4OQQW336GEI5XQUJ \
  | 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: fc36a566b2b1b8e842dbdf8c4476f0a2733616a0df8a0d916233fba16133ff51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f202c82b5ab97cf168ca15f8ae8ec919d7b59f20eea626bb92acaf267e04aa63",
    "cross_cats_sorted": [
      "cs.SC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-08-09T15:01:20Z",
    "title_canon_sha256": "0034c73bfa2ca92b8e86e3466360bf9cb25182666f7a8e2ce0842e7301563015"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03486",
    "kind": "arxiv",
    "version": 1
  }
}