Pith Number

pith:MBG7RYWG

pith:2011:MBG7RYWGLWK3USFW3WDIROAXW5

not attested not anchored not stored refs pending

Broccoli curves and the tropical invariance of Welschinger numbers

Andreas Gathmann, Franziska Schroeter, Hannah Markwig

arxiv:1104.3118 v2 · 2011-04-15 · 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{MBG7RYWGLWK3USFW3WDIROAXW5}

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

Merge-position invariance in quadratically enriched tropical floor diagrams

Receipt and verification

First computed	2026-05-18T03:13:43.836985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

604df8e2c65d95ba48b6dd8688b817b74b55fff5e8e2c4467b054515bd71c407

Aliases

arxiv: 1104.3118 · arxiv_version: 1104.3118v2 · doi: 10.48550/arxiv.1104.3118 · pith_short_12: MBG7RYWGLWK3 · pith_short_16: MBG7RYWGLWK3USFW · pith_short_8: MBG7RYWG

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/MBG7RYWGLWK3USFW3WDIROAXW5 \
  | 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: 604df8e2c65d95ba48b6dd8688b817b74b55fff5e8e2c4467b054515bd71c407

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84e49f3683394030ef5f8da37549ae3827dcf972b7dc82643f0a5cfdc89aa69e",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-04-15T17:42:46Z",
    "title_canon_sha256": "3dbe8927b47d3b7a779e55fbf26dd7f23e800c62157eb2a1ed84afd2c7a69284"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3118",
    "kind": "arxiv",
    "version": 2
  }
}