Pith Number

pith:RM4RTHCA

pith:2026:RM4RTHCAUCTBRZAVSUYPRKGRNB

not attested not anchored not stored refs pending

Specular differentiation in normed vector spaces: Quasi-Mean Value and Quasi-Fermat Theorems

Kiyuob Jung

arxiv:2601.10950 v2 · 2026-01-16 · math.OC · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RM4RTHCAUCTBRZAVSUYPRKGRNB}

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	2026-05-22T01:03:16.983563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b39199c40a0a618e4159530f8a8d1684af64b63ec86c6db50d996d04ff441f9

Aliases

arxiv: 2601.10950 · arxiv_version: 2601.10950v2 · doi: 10.48550/arxiv.2601.10950 · pith_short_12: RM4RTHCAUCTB · pith_short_16: RM4RTHCAUCTBRZAV · pith_short_8: RM4RTHCA

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/RM4RTHCAUCTBRZAVSUYPRKGRNB \
  | 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: 8b39199c40a0a618e4159530f8a8d1684af64b63ec86c6db50d996d04ff441f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f609b1ad902107bd1bdbee435fc995d4f5af4b47aeec874bcd506a44d25d1c8f",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-01-16T02:34:19Z",
    "title_canon_sha256": "99f74b296825a85714fd5c9541634499b16965eb22b1df577db0bade639fd73f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.10950",
    "kind": "arxiv",
    "version": 2
  }
}