Pith Number

pith:5H44VCDT

pith:2025:5H44VCDTFFMOAKMJS6HE7JV46Y

not attested not anchored not stored refs pending

Reconstruction of real algebraic functions into curves with prescribed Reeb graphs

Naoki Kitazawa

arxiv:2507.09467 v2 · 2025-07-13 · math.AG · math.CO · math.GT · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5H44VCDTFFMOAKMJS6HE7JV46Y}

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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

Graphs with tree decompositions of small graphs and realizing them as the Reeb graphs of real algebraic functions

Receipt and verification

First computed	2026-07-05T11:40:00.846753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9f9ca88732958e02989978e4fa6bcf6123da2fb0e90620f095730170d84afad

Aliases

arxiv: 2507.09467 · arxiv_version: 2507.09467v2 · doi: 10.48550/arxiv.2507.09467 · pith_short_12: 5H44VCDTFFMO · pith_short_16: 5H44VCDTFFMOAKMJ · pith_short_8: 5H44VCDT

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/5H44VCDTFFMOAKMJS6HE7JV46Y \
  | 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: e9f9ca88732958e02989978e4fa6bcf6123da2fb0e90620f095730170d84afad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ebf3b0cb26ceeaa42f4bc7fc5e033cb4ed2dbfc750b3426fce7f31deb649b85",
    "cross_cats_sorted": [
      "math.CO",
      "math.GT",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-07-13T03:03:37Z",
    "title_canon_sha256": "82bf1dbec51fa2c30ee45c14b4a7104f2173a3095c28a23e56df4a8a5c681bbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.09467",
    "kind": "arxiv",
    "version": 2
  }
}