Pith Number

pith:RBKXZRI6

pith:2022:RBKXZRI63LZXEWBA5EUUDGALLR

not attested not anchored not stored refs pending

Poincar\'e-Reeb graphs of real algebraic domains

Arnaud Bodin, Miruna-Stefana Sorea, Patrick Popescu-Pampu

arxiv:2207.06871 v2 · 2022-07-14 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RBKXZRI63LZXEWBA5EUUDGALLR}

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

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

Receipt and verification

First computed	2026-07-05T06:18:35.907972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88557cc51edaf3725820e92941980b5c43dec7b9fa51d7b2a08e63b87efb26bb

Aliases

arxiv: 2207.06871 · arxiv_version: 2207.06871v2 · doi: 10.48550/arxiv.2207.06871 · pith_short_12: RBKXZRI63LZX · pith_short_16: RBKXZRI63LZXEWBA · pith_short_8: RBKXZRI6

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/RBKXZRI63LZXEWBA5EUUDGALLR \
  | 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: 88557cc51edaf3725820e92941980b5c43dec7b9fa51d7b2a08e63b87efb26bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27ace5b95c4517bf1f7f4d8c83c9d91bdc938056b3dc60578b505864f11657fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2022-07-14T12:48:04Z",
    "title_canon_sha256": "0ce121f9d26dffe425cf705c99e9fb6ec2a45e07605e9d50ff432027cb2f3fa1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.06871",
    "kind": "arxiv",
    "version": 2
  }
}