Pith Number

pith:N3F33KBL

pith:2014:N3F33KBLDDQCNIBFZKMBXSJY2P

not attested not anchored not stored refs pending

Geometry of Centroaffine Surfaces in $\mathbb{R}^5$

Jeanne N. Clelland, Nathaniel Bushek

arxiv:1408.4088 v2 · 2014-08-18 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N3F33KBLDDQCNIBFZKMBXSJY2P}

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	2026-05-18T02:30:00.871441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ecbbda82b18e026a025ca981bc938d3c33b67b1424ac06cf45faa5b75992ad3

Aliases

arxiv: 1408.4088 · arxiv_version: 1408.4088v2 · doi: 10.48550/arxiv.1408.4088 · pith_short_12: N3F33KBLDDQC · pith_short_16: N3F33KBLDDQCNIBF · pith_short_8: N3F33KBL

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/N3F33KBLDDQCNIBFZKMBXSJY2P \
  | 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: 6ecbbda82b18e026a025ca981bc938d3c33b67b1424ac06cf45faa5b75992ad3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5afb17273ed7ea59ed91858d7c010494886252bc7a4e1067c2b0bd3a0d19ad0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-08-18T18:17:11Z",
    "title_canon_sha256": "c92d42e7ba8bc0bdcb9d18be86c6f5b32d7cdbc27572811dae4451f596c03e23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4088",
    "kind": "arxiv",
    "version": 2
  }
}