Pith Number

pith:HH7PF2PZ

pith:2012:HH7PF2PZFV4KDLCUDYQLYZEYWE

not attested not anchored not stored refs pending

Optimal error estimates for corrected trapezoidal rules

Erik Talvila, Matthew Wiersma

arxiv:1205.3759 v1 · 2012-05-16 · math.CA · 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{HH7PF2PZFV4KDLCUDYQLYZEYWE}

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	2026-05-18T03:55:25.236360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39fef2e9f92d78a1ac541e20bc6498b13f0973ecae267df84e265105fdf0a632

Aliases

arxiv: 1205.3759 · arxiv_version: 1205.3759v1 · doi: 10.48550/arxiv.1205.3759 · pith_short_12: HH7PF2PZFV4K · pith_short_16: HH7PF2PZFV4KDLCU · pith_short_8: HH7PF2PZ

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/HH7PF2PZFV4KDLCUDYQLYZEYWE \
  | 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: 39fef2e9f92d78a1ac541e20bc6498b13f0973ecae267df84e265105fdf0a632

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec9a44a8e2956951dae2bac18870672ecf4ce51d43cf660508c54d52a657477f",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-05-16T18:59:36Z",
    "title_canon_sha256": "577948870d76fe3c2a9a5785eca0a72c37feb39a0abd70f2078773e7caf4fd06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3759",
    "kind": "arxiv",
    "version": 1
  }
}