Pith Number

pith:IOK5TFMU

pith:2014:IOK5TFMU6FITDNSTDWYG4GU5B5

not attested not anchored not stored refs pending

A generalization of Poletsky's classical theorem and a characterization of thinness of a subset in $\C^n$

Ibrahim K. Djire

arxiv:1412.6713 v1 · 2014-12-21 · 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{IOK5TFMU6FITDNSTDWYG4GU5B5}

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	2026-05-18T02:30:46.382864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4395d99594f15131b6531db06e1a9d0f481078d61809a17ab12e7c9c9aa585b1

Aliases

arxiv: 1412.6713 · arxiv_version: 1412.6713v1 · doi: 10.48550/arxiv.1412.6713 · pith_short_12: IOK5TFMU6FIT · pith_short_16: IOK5TFMU6FITDNST · pith_short_8: IOK5TFMU

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/IOK5TFMU6FITDNSTDWYG4GU5B5 \
  | 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: 4395d99594f15131b6531db06e1a9d0f481078d61809a17ab12e7c9c9aa585b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f8b6725e3552b210a2e71789a9b1e99582b0cfd0a37aadfe159df59b9ae9076",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2014-12-21T00:59:27Z",
    "title_canon_sha256": "d0230e03589b93745854a67a72ca270838975360ee384afb3288beb4ad1e2baf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.6713",
    "kind": "arxiv",
    "version": 1
  }
}