Pith Number

pith:GJAPNWPF

pith:2023:GJAPNWPFZH4FF42AMXLPRZCOLZ

not attested not anchored not stored refs pending

Tropical mirror for toric surfaces

Andrey Losev, Vyacheslav Lysov

arxiv:2305.00423 v2 · 2023-04-30 · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GJAPNWPFZH4FF42AMXLPRZCOLZ}

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

Advancements in Functorial Homological Mirror Symmetry

Receipt and verification

First computed	2026-07-05T07:16:40.963484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3240f6d9e5c9f852f34065d6f8e44e5e65e474eb116d7b9193c810116bf771dd

Aliases

arxiv: 2305.00423 · arxiv_version: 2305.00423v2 · doi: 10.48550/arxiv.2305.00423 · pith_short_12: GJAPNWPFZH4F · pith_short_16: GJAPNWPFZH4FF42A · pith_short_8: GJAPNWPF

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/GJAPNWPFZH4FF42AMXLPRZCOLZ \
  | 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: 3240f6d9e5c9f852f34065d6f8e44e5e65e474eb116d7b9193c810116bf771dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a947cf60bc0dba875da2d95c34e7278c928ca3d5812fd07ff2fbd0fe37a1718",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2023-04-30T08:23:00Z",
    "title_canon_sha256": "21181392bc8969ca1b8cf7d9b4d0fa560ff3e5453ad29d3bebaacbe6be0ecc2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.00423",
    "kind": "arxiv",
    "version": 2
  }
}