Pith Number

pith:WRTQH3YO

pith:2021:WRTQH3YOLIC36FVCXWQM53XBYA

not attested not anchored not stored refs pending

$C^m$ Semialgebraic Sections Over the Plane

Charles L. Fefferman, Garving K. Luli

arxiv:2101.06334 v3 · 2021-01-16 · math.CA · math.AG · math.CV · 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{WRTQH3YOLIC36FVCXWQM53XBYA}

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	2026-07-05T02:10:49.214827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b46703ef0e5a05bf16a2bda0ceeee1c02256ce847c02f59e51cb2e6bde80cc90

Aliases

arxiv: 2101.06334 · arxiv_version: 2101.06334v3 · doi: 10.48550/arxiv.2101.06334 · pith_short_12: WRTQH3YOLIC3 · pith_short_16: WRTQH3YOLIC36FVC · pith_short_8: WRTQH3YO

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/WRTQH3YOLIC36FVCXWQM53XBYA \
  | 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: b46703ef0e5a05bf16a2bda0ceeee1c02256ce847c02f59e51cb2e6bde80cc90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63337436f312ba09e0d401301e76c3e43acfdc03d2255718c74fde54ef5c9e76",
    "cross_cats_sorted": [
      "math.AG",
      "math.CV",
      "math.LO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2021-01-16T00:10:23Z",
    "title_canon_sha256": "8ad139d7f053211e4032cc6808283a69ad71963661f2587ad076f134a761f155"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.06334",
    "kind": "arxiv",
    "version": 3
  }
}