Pith Number

pith:LQKS27CQ

pith:2012:LQKS27CQ2MNKKXTJ54DVOEGESU

not attested not anchored not stored refs pending

On the manifold of closed hypersurfaces in R^n

Gieri Simonett, Jan Pruess

arxiv:1212.6445 v1 · 2012-12-28 · math.AP · 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{LQKS27CQ2MNKKXTJ54DVOEGESU}

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	2026-05-18T00:54:48.469938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c152d7c50d31aa55e69ef075710c49539aa26a4a367131eae5bff38efa9ed08

Aliases

arxiv: 1212.6445 · arxiv_version: 1212.6445v1 · doi: 10.48550/arxiv.1212.6445 · pith_short_12: LQKS27CQ2MNK · pith_short_16: LQKS27CQ2MNKKXTJ · pith_short_8: LQKS27CQ

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/LQKS27CQ2MNKKXTJ54DVOEGESU \
  | 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: 5c152d7c50d31aa55e69ef075710c49539aa26a4a367131eae5bff38efa9ed08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41917b96a93565221a55bd52d940940e8681bce7f3969cf290b153e0148dff3d",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-28T01:02:31Z",
    "title_canon_sha256": "00ab9f66153b5d80c2cbc340157c6aca8b8ad8d1f0e2f13263b15b602355401e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6445",
    "kind": "arxiv",
    "version": 1
  }
}