Pith Number

pith:SLPVTJG4

pith:2015:SLPVTJG465CJHRMZK4XUL6HZLQ

not attested not anchored not stored refs pending

Implicit/inverse function theorems for free noncommutative functions

Dmitry S. Kaliuzhnyi-Verbovetskyi, Gulnara Abduvalieva

arxiv:1502.05254 v2 · 2015-02-16 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SLPVTJG465CJHRMZK4XUL6HZLQ}

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	2026-05-18T01:37:44.442949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92df59a4dcf74493c599572f45f8f95c14eec5bbc8471777457b38292c1f65cb

Aliases

arxiv: 1502.05254 · arxiv_version: 1502.05254v2 · doi: 10.48550/arxiv.1502.05254 · pith_short_12: SLPVTJG465CJ · pith_short_16: SLPVTJG465CJHRMZ · pith_short_8: SLPVTJG4

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/SLPVTJG465CJHRMZK4XUL6HZLQ \
  | 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: 92df59a4dcf74493c599572f45f8f95c14eec5bbc8471777457b38292c1f65cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dae13e9d84fc33ab13e37831aa2cfb1bcc1ac973f9785ce081f8e3873ef73257",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-02-16T18:13:22Z",
    "title_canon_sha256": "ead827943978842923bd31c4fbb42f2c0baddf053407e810082030fed763bbb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05254",
    "kind": "arxiv",
    "version": 2
  }
}