Pith Number

pith:GVSUGQTR

pith:2011:GVSUGQTRXPMBZ2Q4V6IQ6ZRURL

not attested not anchored not stored refs pending

On algebraic structures of numerical integration on vector spaces and manifolds

Alexander Lundervold, Hans Z. Munthe-Kaas

arxiv:1112.4465 v2 · 2011-12-19 · math.NA · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GVSUGQTRXPMBZ2Q4V6IQ6ZRURL}

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	2026-05-18T01:26:19.314641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3565434271bbd81cea1caf910f66348ac7db52b25bb0f34cc59cdb76a0c64940

Aliases

arxiv: 1112.4465 · arxiv_version: 1112.4465v2 · doi: 10.48550/arxiv.1112.4465 · pith_short_12: GVSUGQTRXPMB · pith_short_16: GVSUGQTRXPMBZ2Q4 · pith_short_8: GVSUGQTR

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/GVSUGQTRXPMBZ2Q4V6IQ6ZRURL \
  | 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: 3565434271bbd81cea1caf910f66348ac7db52b25bb0f34cc59cdb76a0c64940

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7522033e5513400607f8ad1f932376abf8eab986ddc85a1fa33db74e36efba37",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-12-19T20:52:13Z",
    "title_canon_sha256": "381945be0eea48fa0bcb6760acfc49d12e87882036a65f83fa79b9d375d20bf8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4465",
    "kind": "arxiv",
    "version": 2
  }
}