Pith Number

pith:XGPPB4DY

pith:2015:XGPPB4DYV6NMKWVDP4QOKH7R2W

not attested not anchored not stored refs pending

The classification of generalized Riemann derivatives

J. Marshall Ash, Stefan Catoiu, William Chin

arxiv:1510.04774 v1 · 2015-10-16 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XGPPB4DYV6NMKWVDP4QOKH7R2W}

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	2026-05-18T01:30:00.673646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b99ef0f078af9ac55aa37f20e51ff1d594315286b1f42affcd1af9a370ba49f8

Aliases

arxiv: 1510.04774 · arxiv_version: 1510.04774v1 · doi: 10.48550/arxiv.1510.04774 · pith_short_12: XGPPB4DYV6NM · pith_short_16: XGPPB4DYV6NMKWVD · pith_short_8: XGPPB4DY

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/XGPPB4DYV6NMKWVDP4QOKH7R2W \
  | 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: b99ef0f078af9ac55aa37f20e51ff1d594315286b1f42affcd1af9a370ba49f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86dac2942c9ad7d076e52ee1a71bbd180bd2c9a0e4df03b193b6389d91da93ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-10-16T03:56:39Z",
    "title_canon_sha256": "881b6dba9524b0c152b49449e18c7727e92327282e02995679e4ef7c95ada630"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.04774",
    "kind": "arxiv",
    "version": 1
  }
}