Pith Number

pith:FG6UE4BO

pith:2011:FG6UE4BOFU2QG5FGB4HD65E254

not attested not anchored not stored refs pending

Optimal Contours for High-Order Derivatives

Folkmar Bornemann, Georg Wechslberger

arxiv:1107.0498 v3 · 2011-07-03 · math.NA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FG6UE4BOFU2QG5FGB4HD65E254}

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	2026-05-18T03:49:47.525059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29bd42702e2d350374a60f0e3f749aef13a19d7a5e25e61352622a5c69ba9b66

Aliases

arxiv: 1107.0498 · arxiv_version: 1107.0498v3 · doi: 10.48550/arxiv.1107.0498 · pith_short_12: FG6UE4BOFU2Q · pith_short_16: FG6UE4BOFU2QG5FG · pith_short_8: FG6UE4BO

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/FG6UE4BOFU2QG5FGB4HD65E254 \
  | 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: 29bd42702e2d350374a60f0e3f749aef13a19d7a5e25e61352622a5c69ba9b66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "942ddd0b892a66d4883993d690f56423b5939299808d599551c9fb8e6d58c91a",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-07-03T21:38:41Z",
    "title_canon_sha256": "0e7cf578f872c78f0769259e6070c86a4374e016f80d658a4071a668c7c4f178"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0498",
    "kind": "arxiv",
    "version": 3
  }
}