Pith Number

pith:XCWPD3I2

pith:2016:XCWPD3I2NN3MV64HC6FMMO3XNQ

not attested not anchored not stored refs pending

Newton and Bouligand derivatives of the scalar play and stop operator

Martin Brokate

arxiv:1607.07344 v2 · 2016-07-25 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XCWPD3I2NN3MV64HC6FMMO3XNQ}

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	2026-05-17T23:48:34.720542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8acf1ed1a6b76cafb87178ac63b776c3185014950d8126c91c3be094a42a617

Aliases

arxiv: 1607.07344 · arxiv_version: 1607.07344v2 · doi: 10.48550/arxiv.1607.07344 · pith_short_12: XCWPD3I2NN3M · pith_short_16: XCWPD3I2NN3MV64H · pith_short_8: XCWPD3I2

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/XCWPD3I2NN3MV64HC6FMMO3XNQ \
  | 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: b8acf1ed1a6b76cafb87178ac63b776c3185014950d8126c91c3be094a42a617

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0213b1674e3726d7ff19145c6da3fe2e5bb2db0740f651d926004a537203318c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-07-25T16:24:12Z",
    "title_canon_sha256": "4c00b4416559fbaee3a6b366c7ac75e46e11e6e0edc7c7e95d02b3387a2cb2f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07344",
    "kind": "arxiv",
    "version": 2
  }
}