Pith Number

pith:QZHAZMLE

pith:2012:QZHAZMLE5RNS6Y63MRRS5MZQ77

not attested not anchored not stored refs pending

Geometric properties of Kahan's method

Brynjulf Owren, Elena Celledoni, G R W Quispel, Robert I McLachlan

arxiv:1209.1164 v2 · 2012-09-06 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QZHAZMLE5RNS6Y63MRRS5MZQ77}

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	2026-05-18T01:54:39.634695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

864e0cb164ec5b2f63db64632eb330ffd3c0459bddd8fc3183c25505eac315b0

Aliases

arxiv: 1209.1164 · arxiv_version: 1209.1164v2 · doi: 10.48550/arxiv.1209.1164 · pith_short_12: QZHAZMLE5RNS · pith_short_16: QZHAZMLE5RNS6Y63 · pith_short_8: QZHAZMLE

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/QZHAZMLE5RNS6Y63MRRS5MZQ77 \
  | 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: 864e0cb164ec5b2f63db64632eb330ffd3c0459bddd8fc3183c25505eac315b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "184a17bcc2b2f42aa875f9f8f998bfaf334816ac90308ba37f595024ef630f2c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-09-06T03:00:12Z",
    "title_canon_sha256": "1d1eed58e2807b58313c832f419e46c53f2604ffb7462f7dac547af457b14f25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1164",
    "kind": "arxiv",
    "version": 2
  }
}