Pith Number

pith:2I7R4LNU

pith:2023:2I7R4LNUIB2VHDCJUXMAZRHAPO

not attested not anchored not stored refs pending

Formulas for calculating of generalized differentials with respect to a set and their applications

Jen-Chih Yao, Vo Duc Thinh, Xiaolong Qin

arxiv:2311.08741 v1 · 2023-11-15 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2I7R4LNUIB2VHDCJUXMAZRHAPO}

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	2026-07-05T07:13:02.724732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d23f1e2db44075538c49a5d80cc4e07bbf34dd0f8bddccbc5b6fe86a47953bdb

Aliases

arxiv: 2311.08741 · arxiv_version: 2311.08741v1 · doi: 10.48550/arxiv.2311.08741 · pith_short_12: 2I7R4LNUIB2V · pith_short_16: 2I7R4LNUIB2VHDCJ · pith_short_8: 2I7R4LNU

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/2I7R4LNUIB2VHDCJUXMAZRHAPO \
  | 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: d23f1e2db44075538c49a5d80cc4e07bbf34dd0f8bddccbc5b6fe86a47953bdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54adcdbdfaf54aba1bbb591f568d24a1adf7653fbe9e960002d29ab7c332df3a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2023-11-15T07:13:34Z",
    "title_canon_sha256": "d7f67d6d44be1a7015e39eeee73dff9a84d42ac4ef6179df3a2f00b13f451261"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.08741",
    "kind": "arxiv",
    "version": 1
  }
}