Pith Number

pith:PEWQXBIB

pith:2015:PEWQXBIBKJLDZRAQJROJFQSCOC

not attested not anchored not stored refs pending

Conceptual differential calculus part ii: Cubic higher order calculus

Wolfgang Bertram

arxiv:1510.03234 v1 · 2015-10-12 · math.DG · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PEWQXBIBKJLDZRAQJROJFQSCOC}

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	2026-05-18T01:30:32.417096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

792d0b850152563cc4104c5c92c2427095c10405368198a4afc1331b7a8282bb

Aliases

arxiv: 1510.03234 · arxiv_version: 1510.03234v1 · doi: 10.48550/arxiv.1510.03234 · pith_short_12: PEWQXBIBKJLD · pith_short_16: PEWQXBIBKJLDZRAQ · pith_short_8: PEWQXBIB

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/PEWQXBIBKJLDZRAQJROJFQSCOC \
  | 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: 792d0b850152563cc4104c5c92c2427095c10405368198a4afc1331b7a8282bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0acd0d48a8c02707766a8d694cc116f80395123244c945658faea3c39d42826f",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-10-12T11:24:17Z",
    "title_canon_sha256": "86ae6e0d3c4c123a7b34a63a0e7ca141e165f76dc487f185b4a7805dadc30e48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03234",
    "kind": "arxiv",
    "version": 1
  }
}