Pith Number

pith:LKXHFLQG

pith:2013:LKXHFLQGQEKU5RSQRRATAQS4SE

not attested not anchored not stored refs pending

Exact formulas for the approximation of connections and curvature

Snorre Harald Christiansen

arxiv:1307.3376 v2 · 2013-07-12 · math.NA · math-ph · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LKXHFLQGQEKU5RSQRRATAQS4SE}

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	2026-05-18T01:56:00.099214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5aae72ae0681154ec6508c4130425c912fad14b55de1352a73552f98c182b815

Aliases

arxiv: 1307.3376 · arxiv_version: 1307.3376v2 · doi: 10.48550/arxiv.1307.3376 · pith_short_12: LKXHFLQGQEKU · pith_short_16: LKXHFLQGQEKU5RSQ · pith_short_8: LKXHFLQG

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/LKXHFLQGQEKU5RSQRRATAQS4SE \
  | 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: 5aae72ae0681154ec6508c4130425c912fad14b55de1352a73552f98c182b815

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f990f37c60352064b6ea9fa7fb3e4c545f5ef63428f6e4f6d0d441ce4863a871",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-07-12T08:47:54Z",
    "title_canon_sha256": "6ba885322563cbfba21bb302c46a4481e42be71cd6656b862e77c2dde7cd7cbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3376",
    "kind": "arxiv",
    "version": 2
  }
}