Pith Number

pith:Z4LID5Q7

pith:2026:Z4LID5Q7KOR2B54GNW77L6FU57

not attested not anchored not stored refs pending

Planar extensions in o-minimal structures

Dinh Si Tiep, Nhan Nguyen

arxiv:2606.03155 v1 · 2026-06-02 · math.GN · math.GT · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z4LID5Q7KOR2B54GNW77L6FU57}

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	2026-06-03T01:05:33.417512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf1681f61f53a3a0f7866dbff5f8b4efdafe9f031028f7a67bfcbbd46203dd88

Aliases

arxiv: 2606.03155 · arxiv_version: 2606.03155v1 · doi: 10.48550/arxiv.2606.03155 · pith_short_12: Z4LID5Q7KOR2 · pith_short_16: Z4LID5Q7KOR2B54G · pith_short_8: Z4LID5Q7

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/Z4LID5Q7KOR2B54GNW77L6FU57 \
  | 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: cf1681f61f53a3a0f7866dbff5f8b4efdafe9f031028f7a67bfcbbd46203dd88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f7cef2f0e9dea81f433fa44909ac870329c3659426b99ed89a46dfafc86eabe",
    "cross_cats_sorted": [
      "math.GT",
      "math.LO"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2026-06-02T05:05:46Z",
    "title_canon_sha256": "678e22369dfb1c4e5cf284112ea9eff59ef4e4dcc08212bb638003e3b629dcd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.03155",
    "kind": "arxiv",
    "version": 1
  }
}