Pith Number

pith:6AKDJE6G

pith:2022:6AKDJE6GO27KBG7P2BLR2Q2DEP

not attested not anchored not stored refs pending

Dimension Free Growth Results for Vector-Valued Functions of Several Complex Variables

Faruk F. Abi-Khuzam

arxiv:2201.12321 v1 · 2022-01-28 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6AKDJE6GO27KBG7P2BLR2Q2DEP}

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.

Cited by

1 paper in Pith

ReCap: Event-Aware Image Captioning with Article Retrieval and Semantic Gaussian Normalization

Receipt and verification

First computed	2026-07-05T03:52:22.025435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0143493c676bea09befd0571d434323cf8b2f7adf5f84a955b3f2b6521d7fbc

Aliases

arxiv: 2201.12321 · arxiv_version: 2201.12321v1 · doi: 10.48550/arxiv.2201.12321 · pith_short_12: 6AKDJE6GO27K · pith_short_16: 6AKDJE6GO27KBG7P · pith_short_8: 6AKDJE6G

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/6AKDJE6GO27KBG7P2BLR2Q2DEP \
  | 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: f0143493c676bea09befd0571d434323cf8b2f7adf5f84a955b3f2b6521d7fbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4bf0c336a34047000786b5f5801fa358df4333cde68b713059273615fe6fd01",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2022-01-28T18:37:12Z",
    "title_canon_sha256": "35947f7fcdcdb9c7dfb4f23352620fc5a233ee077cf170500b356f6792ce3587"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.12321",
    "kind": "arxiv",
    "version": 1
  }
}