Pith Number

pith:62NDT73G

pith:2014:62NDT73GSAPQTHNLOBM5S74W5V

not attested not anchored not stored refs pending

Realizability of Tropical Curves in a Plane in the Non-Constant Coefficient Case

Andreas Gathmann, Anna Lena Birkmeyer

arxiv:1412.3035 v1 · 2014-12-09 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{62NDT73GSAPQTHNLOBM5S74W5V}

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	2026-05-18T02:31:45.137763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f69a39ff66901f099dab7059d97f96ed584f5f0425c13df658eaa25d3955128b

Aliases

arxiv: 1412.3035 · arxiv_version: 1412.3035v1 · doi: 10.48550/arxiv.1412.3035 · pith_short_12: 62NDT73GSAPQ · pith_short_16: 62NDT73GSAPQTHNL · pith_short_8: 62NDT73G

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/62NDT73GSAPQTHNLOBM5S74W5V \
  | 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: f69a39ff66901f099dab7059d97f96ed584f5f0425c13df658eaa25d3955128b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31f6ef48e2efed4265d3d277510986ac43ecefd56c75297dd88b31fb5f36699f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-12-09T18:00:08Z",
    "title_canon_sha256": "5ae815333a259f7210de64d3df85608be63f9c4e91a5e38be65a9f298ccdc1dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.3035",
    "kind": "arxiv",
    "version": 1
  }
}