Pith Number

pith:ZPBOJCYC

pith:2016:ZPBOJCYCQFI5B377ZKCDJSPLJJ

not attested not anchored not stored refs pending

Sufficient Conditions for Existence of $J_{\alpha}(X + \sqrt[\alpha]{\eta}N)$

Ibrahim Abou-Faycal, Jihad Fahs

arxiv:1604.02058 v1 · 2016-04-07 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZPBOJCYCQFI5B377ZKCDJSPLJJ}

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	2026-05-18T01:17:31.346157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbc2e48b028151d0efffca8434c9eb4a673fc92af7b938d7461c25d6904e1757

Aliases

arxiv: 1604.02058 · arxiv_version: 1604.02058v1 · doi: 10.48550/arxiv.1604.02058 · pith_short_12: ZPBOJCYCQFI5 · pith_short_16: ZPBOJCYCQFI5B377 · pith_short_8: ZPBOJCYC

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/ZPBOJCYCQFI5B377ZKCDJSPLJJ \
  | 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: cbc2e48b028151d0efffca8434c9eb4a673fc92af7b938d7461c25d6904e1757

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e27d22b88cd02d8c4f3c2ddddce15baa4dcf51feb9c618809fe8faec321e743",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-04-07T16:14:39Z",
    "title_canon_sha256": "185f243308addddc07f9f9844ca4b72416c9e84a38f374e087fa2b59f7d275f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.02058",
    "kind": "arxiv",
    "version": 1
  }
}