Pith Number

pith:HBNJ3UR5

pith:2012:HBNJ3UR5VIAKZJLC7WAT7PLVA5

not attested not anchored not stored refs pending

A Class of Continued Radicals

Costas J. Efthimiou

arxiv:1208.3707 v1 · 2012-08-17 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HBNJ3UR5VIAKZJLC7WAT7PLVA5}

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	2026-05-18T03:48:26.467432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

385a9dd23daa00aca562fd813fbd75077d2b1b8fa89cff51572bd989bb9abbd1

Aliases

arxiv: 1208.3707 · arxiv_version: 1208.3707v1 · doi: 10.48550/arxiv.1208.3707 · pith_short_12: HBNJ3UR5VIAK · pith_short_16: HBNJ3UR5VIAKZJLC · pith_short_8: HBNJ3UR5

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/HBNJ3UR5VIAKZJLC7WAT7PLVA5 \
  | 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: 385a9dd23daa00aca562fd813fbd75077d2b1b8fa89cff51572bd989bb9abbd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0382eb9ebcfd3553bdedc9e23a9590c08d25cc8753867b3fb86f9ec0f44b325",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-08-17T23:50:12Z",
    "title_canon_sha256": "dc28d84dc8d7925bd9147ba49efc666ee7c97ee8123b07f49f7849a2a7760282"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3707",
    "kind": "arxiv",
    "version": 1
  }
}